Pith Number

pith:H2K3HW47

pith:2026:H2K3HW47ZB4PEBSDX577YPZQWR

not attested not anchored not stored refs pending

2007: An Arboreal Odyssey: A View of Arboreal Galois Representations and Applications, from Early in the Subject's History

Rafe Jones

arxiv:2605.21666 v1 · 2026-05-20 · 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{H2K3HW47ZB4PEBSDX577YPZQWR}

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	2026-05-22T01:03:27.326680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e95b3db9fc878f20643bf7ffc3f30b44b83bd6455348a74b599f0351a7dc5b6

Aliases

arxiv: 2605.21666 · arxiv_version: 2605.21666v1 · doi: 10.48550/arxiv.2605.21666 · pith_short_12: H2K3HW47ZB4P · pith_short_16: H2K3HW47ZB4PEBSD · pith_short_8: H2K3HW47

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/H2K3HW47ZB4PEBSDX577YPZQWR \
  | 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: 3e95b3db9fc878f20643bf7ffc3f30b44b83bd6455348a74b599f0351a7dc5b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fc4cf1ad38aec51e63902f5a38ed31c9c2a282bdc5c717c74817f6f1659588d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-05-20T19:16:57Z",
    "title_canon_sha256": "4261f44a3312db09e40576626cdf9b26ace708f5331699057fa346a1b588c72d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21666",
    "kind": "arxiv",
    "version": 1
  }
}