Pith Number

pith:BX2J62GW

pith:2015:BX2J62GWVMRKY6AF4Y6SCE7S42

not attested not anchored not stored refs pending

Transcendental Hodge algebra

Misha Verbitsky

arxiv:1512.01011 v3 · 2015-12-03 · math.AG · math.DG · 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{BX2J62GWVMRKY6AF4Y6SCE7S42}

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	2026-05-18T00:38:46.716652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0df49f68d6ab22ac7805e63d2113f2e6b619712e504b5b798ada512177595c34

Aliases

arxiv: 1512.01011 · arxiv_version: 1512.01011v3 · doi: 10.48550/arxiv.1512.01011 · pith_short_12: BX2J62GWVMRK · pith_short_16: BX2J62GWVMRKY6AF · pith_short_8: BX2J62GW

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/BX2J62GWVMRKY6AF4Y6SCE7S42 \
  | 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: 0df49f68d6ab22ac7805e63d2113f2e6b619712e504b5b798ada512177595c34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc00e328d737a989f73c04af4060a65e190f4686466e857ce70603a15623147d",
    "cross_cats_sorted": [
      "math.DG",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-12-03T09:42:20Z",
    "title_canon_sha256": "da31957081342a2a9a57b37601dbaa1cf60cbba3698e51752e24058a396fb64d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01011",
    "kind": "arxiv",
    "version": 3
  }
}