Pith Number

pith:LTHSML6P

pith:2012:LTHSML6PZKPHPDRMVNK6SK3HF4

not attested not anchored not stored refs pending

The homotopy theory of simplicial props

Marcy Robertson, Philip Hackney

arxiv:1209.1087 v4 · 2012-09-05 · 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{LTHSML6PZKPHPDRMVNK6SK3HF4}

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	2026-05-18T00:18:32.333885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ccf262fcfca9e778e2cab55e92b672f0373b9e23e62bcc80a377c0527e32d79

Aliases

arxiv: 1209.1087 · arxiv_version: 1209.1087v4 · doi: 10.48550/arxiv.1209.1087 · pith_short_12: LTHSML6PZKPH · pith_short_16: LTHSML6PZKPHPDRM · pith_short_8: LTHSML6P

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/LTHSML6PZKPHPDRMVNK6SK3HF4 \
  | 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: 5ccf262fcfca9e778e2cab55e92b672f0373b9e23e62bcc80a377c0527e32d79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a731acd07f62c6baadd462b0d2306b4a803555277087952fc7f1dbb69ac6ac41",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-09-05T19:55:24Z",
    "title_canon_sha256": "3218ad7281fb7cfb9458bb25948722af7233fe347cee74402ed82dd297b0868f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1087",
    "kind": "arxiv",
    "version": 4
  }
}