Pith Number

pith:K6MIDULM

pith:2021:K6MIDULM2KHUBX5WCGZ4AOVA2Z

not attested not anchored not stored refs pending

Multiple $T$-values with one parameter

Fr\'ed\'eric Chapoton (IRMA)

arxiv:2108.08534 v1 · 2021-08-19 · 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{K6MIDULM2KHUBX5WCGZ4AOVA2Z}

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.

Receipt and verification

First computed	2026-07-05T03:07:10.839103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

579881d16cd28f40dfb611b3c03aa0d6434c652d5600b1fa5cba3624bd159623

Aliases

arxiv: 2108.08534 · arxiv_version: 2108.08534v1 · doi: 10.48550/arxiv.2108.08534 · pith_short_12: K6MIDULM2KHU · pith_short_16: K6MIDULM2KHUBX5W · pith_short_8: K6MIDULM

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/K6MIDULM2KHUBX5WCGZ4AOVA2Z \
  | 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: 579881d16cd28f40dfb611b3c03aa0d6434c652d5600b1fa5cba3624bd159623

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e438a452834cc67a2262a715db844ec7b07d7b75f98303eb68e6e9a151158e32",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-08-19T07:18:02Z",
    "title_canon_sha256": "6b544cbb9c9fb8cc89376dc1c4512a112a4953af3469eea9f231cc6c8abcfc7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.08534",
    "kind": "arxiv",
    "version": 1
  }
}