Pith Number

pith:3OPLXDNW

pith:2024:3OPLXDNWNBNOK5XMHAL2U46EKB

not attested not anchored not stored refs pending

Torsion-free abelian groups of finite rank and fields of finite transcendence degree

Julia Knight, Meng-Che "Turbo" Ho, Russell Miller

arxiv:2403.02488 v2 · 2024-03-04 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3OPLXDNWNBNOK5XMHAL2U46EKB}

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	2026-07-05T07:57:50.492588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db9ebb8db6685ae576ec3817aa73c4507cf93992d4e2edb498f7520b2727788c

Aliases

arxiv: 2403.02488 · arxiv_version: 2403.02488v2 · doi: 10.48550/arxiv.2403.02488 · pith_short_12: 3OPLXDNWNBNO · pith_short_16: 3OPLXDNWNBNOK5XM · pith_short_8: 3OPLXDNW

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/3OPLXDNWNBNOK5XMHAL2U46EKB \
  | 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: db9ebb8db6685ae576ec3817aa73c4507cf93992d4e2edb498f7520b2727788c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3edb59f4e51858feb6ed17405338e7bb3b31d7351e4451513a939bcbf0151e3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2024-03-04T21:16:54Z",
    "title_canon_sha256": "91f1bb2c6aa87e87bca6df45a1d05dc8984b3565b72810ca220ee8cc185ef636"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.02488",
    "kind": "arxiv",
    "version": 2
  }
}