Pith Number

pith:6C5GF54M

pith:2004:6C5GF54MJXMQ7UVXIKZTFLOQ34

not attested not anchored not stored refs pending

Parametrized homotopy theory

J. P. May, J. Sigurdsson

arxiv:math/0411656 v1 · 2004-11-30 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6C5GF54MJXMQ7UVXIKZTFLOQ34}

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

2 papers in Pith

Entanglement of Sections: The pushout of entangled and parameterized quantum information

A Global Model Structure for $\mathbb{K}$-Linear $\infty$-Local Systems

Receipt and verification

First computed	2026-07-04T14:39:25.134222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0ba62f78c4dd90fd2b742b332add0df32fc985aff43a3b87054e1df91c6803b

Aliases

arxiv: math/0411656 · arxiv_version: math/0411656v1 · doi: 10.48550/arxiv.math/0411656 · pith_short_12: 6C5GF54MJXMQ · pith_short_16: 6C5GF54MJXMQ7UVX · pith_short_8: 6C5GF54M

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/6C5GF54MJXMQ7UVXIKZTFLOQ34 \
  | 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: f0ba62f78c4dd90fd2b742b332add0df32fc985aff43a3b87054e1df91c6803b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cc945cd3598ef4b87378e07509a128d62b5bb479147f3dee50d3de7122d8d92",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2004-11-30T13:37:42Z",
    "title_canon_sha256": "dd9c5161ce2578c2efb332da06188572a850e5edfd50e1358ad1bbc132053f9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0411656",
    "kind": "arxiv",
    "version": 1
  }
}