Pith Number

pith:YTA4KM5H

pith:2007:YTA4KM5HU3UQCDN4FBDK7N2CCW

not attested not anchored not stored refs pending

The first homology of the group of equivariant diffeomorphisms and its application

Kazuhiko Fukui, Kojun Abe

arxiv:math/0703320 v1 · 2007-03-12 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YTA4KM5HU3UQCDN4FBDK7N2CCW}

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	2026-05-18T02:57:45.232805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4c1c533a7a6e9010dbc2846afb74215bfdd087dcd2802adb665a25481e1df8f

Aliases

arxiv: math/0703320 · arxiv_version: math/0703320v1 · doi: 10.48550/arxiv.math/0703320 · pith_short_12: YTA4KM5HU3UQ · pith_short_16: YTA4KM5HU3UQCDN4 · pith_short_8: YTA4KM5H

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/YTA4KM5HU3UQCDN4FBDK7N2CCW \
  | 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: c4c1c533a7a6e9010dbc2846afb74215bfdd087dcd2802adb665a25481e1df8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4b30a56a9eae9e4f1d9b4ad7c0e199140f0ca31bdf8133913403d16a94a5fb0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2007-03-12T05:25:19Z",
    "title_canon_sha256": "a636ff0700ab8cc6187da0ea7714e98754bacd896ae688b926110d1d9449e5ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703320",
    "kind": "arxiv",
    "version": 1
  }
}