Pith Number

pith:AXITD2Y5

pith:2017:AXITD2Y5RJSCA5OIWHUJU2FMAX

not attested not anchored not stored refs pending

An explicit theory of $\pi_{1}^{\un,\crys}(\mathbb{P}^{1} - \{0,\mu_{N},\infty\})$ - V-1 : The Frobenius extended to $\pi_{1}^{\un,\DR}(\mathbb{P}^{1} - \{0,\mu_{p^{\alpha}N},\infty\})$

David Jarossay

arxiv:1708.08009 v1 · 2017-08-26 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AXITD2Y5RJSCA5OIWHUJU2FMAX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

On generic double shuffle relations, localized multiple polylogarithms and algebraic functions

Receipt and verification

First computed	2026-05-18T00:36:37.304248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05d131eb1d8a642075c8b1e89a68ac05ea0429d8d19c3ad1dbe9f3752ef30de2

Aliases

arxiv: 1708.08009 · arxiv_version: 1708.08009v1 · doi: 10.48550/arxiv.1708.08009 · pith_short_12: AXITD2Y5RJSC · pith_short_16: AXITD2Y5RJSCA5OI · pith_short_8: AXITD2Y5

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/AXITD2Y5RJSCA5OIWHUJU2FMAX \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 05d131eb1d8a642075c8b1e89a68ac05ea0429d8d19c3ad1dbe9f3752ef30de2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b4073f7e9dac326b3f066b25f9a13e1809b06353888b4e31f66344f251da221",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-08-26T18:39:37Z",
    "title_canon_sha256": "4245cbb37c6d2d3c42a339e0d51f1866a76bdd55e338751f1576a5781c0853ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.08009",
    "kind": "arxiv",
    "version": 1
  }
}