Pith Number

pith:K7SEZ6DA

pith:2011:K7SEZ6DA2VT2ABD3NDMZ7ZM3BJ

not attested not anchored not stored refs pending

On the Unicity of the Homotopy Theory of Higher Categories

Christopher Schommer-Pries, Clark Barwick

arxiv:1112.0040 v6 · 2011-11-30 · 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{K7SEZ6DA2VT2ABD3NDMZ7ZM3BJ}

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

3 papers in Pith

Structured Quotients in Real Homotopy Theory

Structured Real Snaith Equivalences

An Oriented Street--Roberts Conjecture

Receipt and verification

First computed	2026-07-05T01:24:45.244110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57e44cf860d567a0047b68d99fe59b0a5a11d8d69eb2cb5862fd7af4c7713ace

Aliases

arxiv: 1112.0040 · arxiv_version: 1112.0040v6 · doi: 10.48550/arxiv.1112.0040 · pith_short_12: K7SEZ6DA2VT2 · pith_short_16: K7SEZ6DA2VT2ABD3 · pith_short_8: K7SEZ6DA

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/K7SEZ6DA2VT2ABD3NDMZ7ZM3BJ \
  | 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: 57e44cf860d567a0047b68d99fe59b0a5a11d8d69eb2cb5862fd7af4c7713ace

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a16bb5dd2df8b9cd3a40abaf46ada48495345a5158b20511a37effda8d496b6d",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-11-30T21:53:57Z",
    "title_canon_sha256": "f1eaf38ddf2811e98729939f45dfbaf2bf33426fc65c4d52f9179e8af231f92c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0040",
    "kind": "arxiv",
    "version": 6
  }
}