Pith Number

pith:AX4C6GKL

pith:2019:AX4C6GKL3DYFOFTH662BGPPGYW

not attested not anchored not stored refs pending

It's Common Knowledge

Aidan Duncan, Anuj Sakarda, Armaan Tipirneni, Jerry Tan, Joshua Guo, Kevin Zhao, Kunal Kapoor, Matvey Borodin, Max Xu, Tanya Khovanova

arxiv:1909.02415 v1 · 2019-09-03 · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AX4C6GKL3DYFOFTH662BGPPGYW}

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	2026-07-05T00:02:33.983397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05f82f194bd8f0571667f7b4133de6c599993ecf4493e36eeb32657c0885cbd9

Aliases

arxiv: 1909.02415 · arxiv_version: 1909.02415v1 · doi: 10.48550/arxiv.1909.02415 · pith_short_12: AX4C6GKL3DYF · pith_short_16: AX4C6GKL3DYFOFTH · pith_short_8: AX4C6GKL

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/AX4C6GKL3DYFOFTH662BGPPGYW \
  | 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: 05f82f194bd8f0571667f7b4133de6c599993ecf4493e36eeb32657c0885cbd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4097dfb8593efcf9cfd593e90677812751b43af515de21bc72675a0a5833c03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2019-09-03T17:50:09Z",
    "title_canon_sha256": "7942d737e4103ecea962c51eb873a5e4e6a119acbdcbd6ba57e26235ad8c74d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.02415",
    "kind": "arxiv",
    "version": 1
  }
}