Pith Number

pith:TWIDB4CQ

pith:2016:TWIDB4CQC2TPYS6T5EXQ4CVDGS

not attested not anchored not stored refs pending

Mathematical formulae on coins, parts I and II

Henryk Fuk\'s

arxiv:1609.09485 v1 · 2016-09-29 · 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{TWIDB4CQC2TPYS6T5EXQ4CVDGS}

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	2026-05-18T01:03:37.750759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d9030f05016a6fc4bd3e92f0e0aa3348ae9920d2b45f83f345f8291f6b6d0c0

Aliases

arxiv: 1609.09485 · arxiv_version: 1609.09485v1 · doi: 10.48550/arxiv.1609.09485 · pith_short_12: TWIDB4CQC2TP · pith_short_16: TWIDB4CQC2TPYS6T · pith_short_8: TWIDB4CQ

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/TWIDB4CQC2TPYS6T5EXQ4CVDGS \
  | 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: 9d9030f05016a6fc4bd3e92f0e0aa3348ae9920d2b45f83f345f8291f6b6d0c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "379c9ac28d9a8a563afe811a8430e38819d9893e623d64e0520a24311e50dc23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2016-09-29T19:50:29Z",
    "title_canon_sha256": "d8ac23196ab798fc3414176c5ba0bfc8566afe39b3c2bc75c42310ee79231ae9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09485",
    "kind": "arxiv",
    "version": 1
  }
}