Pith Number

pith:3KRNN3G5

pith:2015:3KRNN3G5KCW2367REOVSIRUOH6

not attested not anchored not stored refs pending

Equipped graded graphs, projective limits of simplices, and their boundaries

A.Vershik

arxiv:1503.04447 v1 · 2015-03-15 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3KRNN3G5KCW2367REOVSIRUOH6}

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	2026-05-18T02:23:25.035249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daa2d6ecdd50adadfbf123ab24468e3fb6b4eaf7142bb38af9558c6de7bc449c

Aliases

arxiv: 1503.04447 · arxiv_version: 1503.04447v1 · doi: 10.48550/arxiv.1503.04447 · pith_short_12: 3KRNN3G5KCW2 · pith_short_16: 3KRNN3G5KCW2367R · pith_short_8: 3KRNN3G5

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/3KRNN3G5KCW2367REOVSIRUOH6 \
  | 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: daa2d6ecdd50adadfbf123ab24468e3fb6b4eaf7142bb38af9558c6de7bc449c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba475d78ee6dcfaa79ca0c958f8f7440081b9ca3868a91fcbe3093c901a0e344",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-03-15T16:41:19Z",
    "title_canon_sha256": "9b3ea8a4b598a9c2cc9add9a09c9d5d4348d0159dc647e0f3c19994a578ab149"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.04447",
    "kind": "arxiv",
    "version": 1
  }
}