Pith Number

pith:QEUWDECJ

pith:2014:QEUWDECJQX3ACYAN533SEEUFCE

not attested not anchored not stored refs pending

Univalent universes for elegant models of homotopy types

Denis-Charles Cisinski

arxiv:1406.0058 v1 · 2014-05-31 · math.AT · math.CT · 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{QEUWDECJQX3ACYAN533SEEUFCE}

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.

Cited by

1 paper in Pith

The discrete homotopy hypothesis for directed graphs

Receipt and verification

First computed	2026-05-18T02:50:41.908342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

812961904985f601600deef7221285110970c4fc63f3814b8e5c1afbe86a8afe

Aliases

arxiv: 1406.0058 · arxiv_version: 1406.0058v1 · doi: 10.48550/arxiv.1406.0058 · pith_short_12: QEUWDECJQX3A · pith_short_16: QEUWDECJQX3ACYAN · pith_short_8: QEUWDECJ

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/QEUWDECJQX3ACYAN533SEEUFCE \
  | 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: 812961904985f601600deef7221285110970c4fc63f3814b8e5c1afbe86a8afe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0a495cdf63ff8c1cef7260f5db9c5d0e9efac4b28a2b5db26d2d9d9fc908795",
    "cross_cats_sorted": [
      "math.CT",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-05-31T09:02:44Z",
    "title_canon_sha256": "80f2ff18c03ef156b011616a0a03414a6c45a24c06be25ce174f222763c7de47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.0058",
    "kind": "arxiv",
    "version": 1
  }
}