Pith Number

pith:SD5M3I3X

pith:2011:SD5M3I3XST3ZXBKEVGUWA7SCE5

not attested not anchored not stored refs pending

Finite $C^\infty$-actions are described by one vector field

A. Viruel, F. J. Turiel

arxiv:1112.2881 v1 · 2011-12-13 · math.DG · math.AT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SD5M3I3XST3ZXBKEVGUWA7SCE5}

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	2026-05-18T04:06:32.161849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90facda37794f79b8544a9a9607e422752290a087f13c58a0ad2968fa29326fe

Aliases

arxiv: 1112.2881 · arxiv_version: 1112.2881v1 · doi: 10.48550/arxiv.1112.2881 · pith_short_12: SD5M3I3XST3Z · pith_short_16: SD5M3I3XST3ZXBKE · pith_short_8: SD5M3I3X

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/SD5M3I3XST3ZXBKEVGUWA7SCE5 \
  | 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: 90facda37794f79b8544a9a9607e422752290a087f13c58a0ad2968fa29326fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d59567d71bfb959b8e02797380fee29950f49fbd8913b6969ab5d4c0e1c9ebb3",
    "cross_cats_sorted": [
      "math.AT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-12-13T12:55:49Z",
    "title_canon_sha256": "67aee4a734d7ca5b308dad33bb079534e25d1f411bf25dbc1a87586ac8979b39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2881",
    "kind": "arxiv",
    "version": 1
  }
}