Pith Number

pith:2HMWVGEF

pith:2012:2HMWVGEFXNVGIGPVCKSPDVWFKC

not attested not anchored not stored refs pending

Realizing homotopy group actions

David Blanc, Debasis Sen

arxiv:1210.2574 v2 · 2012-10-09 · 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{2HMWVGEFXNVGIGPVCKSPDVWFKC}

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	2026-05-18T02:59:08.871704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1d96a9885bb6a6419f512a4f1d6c550b382e591d93cdbe3d2c591b7154088b3

Aliases

arxiv: 1210.2574 · arxiv_version: 1210.2574v2 · doi: 10.48550/arxiv.1210.2574 · pith_short_12: 2HMWVGEFXNVG · pith_short_16: 2HMWVGEFXNVGIGPV · pith_short_8: 2HMWVGEF

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/2HMWVGEFXNVGIGPVCKSPDVWFKC \
  | 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: d1d96a9885bb6a6419f512a4f1d6c550b382e591d93cdbe3d2c591b7154088b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a7717b01805b0865d951f9562f519e28f439f297341e612ceface8fd43246cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-10-09T11:57:23Z",
    "title_canon_sha256": "8aebbdff6888fd9b06cfa05211c3ce0d42ff5678057766df65e0667d197cb774"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2574",
    "kind": "arxiv",
    "version": 2
  }
}