Pith Number

pith:SHBSK6EM

pith:2010:SHBSK6EMUZ3NN6L3HSJACQ5RNM

not attested not anchored not stored refs pending

Resolution of smooth group actions

Pierre Albin, Richard Melrose

arxiv:1012.5765 v1 · 2010-12-28 · math.DG · 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{SHBSK6EMUZ3NN6L3HSJACQ5RNM}

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	2026-05-18T04:32:21.596351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91c325788ca676d6f97b3c920143b16b3b2c0f81383662777e3a144bbaefee5c

Aliases

arxiv: 1012.5765 · arxiv_version: 1012.5765v1 · doi: 10.48550/arxiv.1012.5765 · pith_short_12: SHBSK6EMUZ3N · pith_short_16: SHBSK6EMUZ3NN6L3 · pith_short_8: SHBSK6EM

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/SHBSK6EMUZ3NN6L3HSJACQ5RNM \
  | 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: 91c325788ca676d6f97b3c920143b16b3b2c0f81383662777e3a144bbaefee5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf2941e23e723f1d52effcc0ef48d3bea4af13be1847b298962a5e4c4633db3f",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-12-28T13:47:53Z",
    "title_canon_sha256": "9047e019914b50acced91e35758afcac829852f6649f219bb7a4d95fe1d0ff01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5765",
    "kind": "arxiv",
    "version": 1
  }
}