Pith Number

pith:Z6LPAZ3P

pith:2010:Z6LPAZ3POPZTWPVYEOE44SAAC7

not attested not anchored not stored refs pending

The algebraic structure of the universal complicial sets

Richard Steiner

arxiv:1009.3384 v2 · 2010-09-17 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z6LPAZ3POPZTWPVYEOE44SAAC7}

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	2026-05-18T03:55:01.786574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf96f0676f73f33b3eb82389ce480017f072aa61cb4724c025f910b85e67a89f

Aliases

arxiv: 1009.3384 · arxiv_version: 1009.3384v2 · doi: 10.48550/arxiv.1009.3384 · pith_short_12: Z6LPAZ3POPZT · pith_short_16: Z6LPAZ3POPZTWPVY · pith_short_8: Z6LPAZ3P

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/Z6LPAZ3POPZTWPVYEOE44SAAC7 \
  | 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: cf96f0676f73f33b3eb82389ce480017f072aa61cb4724c025f910b85e67a89f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03c7e18367fd0b2f7df0cefe6da489d282e72f7afe1f784cab851e3b02985fd3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2010-09-17T10:07:22Z",
    "title_canon_sha256": "174afd071dc8261a9c7fbd83310f3a69068ae9bc352250e0dc09c739e54da881"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3384",
    "kind": "arxiv",
    "version": 2
  }
}