Pith Number

pith:7DT4XJNN

pith:2014:7DT4XJNNZD3TT6HJRN76FGSTGK

not attested not anchored not stored refs pending

Strictly commutative models for E-infinity quasi-categories

Dimitar Kodjabachev, Steffen Sagave

arxiv:1408.0116 v2 · 2014-08-01 · math.AT · 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{7DT4XJNNZD3TT6HJRN76FGSTGK}

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	2026-05-18T02:19:08.367896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8e7cba5adc8f739f8e98b7fe29a53328a0d9afdd101591d42a0c3f89ca4b8f8

Aliases

arxiv: 1408.0116 · arxiv_version: 1408.0116v2 · doi: 10.48550/arxiv.1408.0116 · pith_short_12: 7DT4XJNNZD3T · pith_short_16: 7DT4XJNNZD3TT6HJ · pith_short_8: 7DT4XJNN

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/7DT4XJNNZD3TT6HJRN76FGSTGK \
  | 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: f8e7cba5adc8f739f8e98b7fe29a53328a0d9afdd101591d42a0c3f89ca4b8f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d58779bab77b0ba7a5be95de0412592334700ef1972c046a1d1dec966d787775",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-08-01T09:49:14Z",
    "title_canon_sha256": "587b4003c0c1734d4e5876de33e582935ef83288691676ed1f59a85a7b6ca381"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.0116",
    "kind": "arxiv",
    "version": 2
  }
}