Pith Number

pith:SDM7S4PV

pith:2013:SDM7S4PVPZVDR2XV3LYJWNF3YH

not attested not anchored not stored refs pending

VB-algebroid morphisms and representations up to homotopy

Cristian Ortiz, Madeleine Jotz Lean, Thiago Drummond

arxiv:1302.3987 v2 · 2013-02-16 · math.DG · 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{SDM7S4PVPZVDR2XV3LYJWNF3YH}

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	2026-05-18T01:20:18.071618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90d9f971f57e6a38eaf5daf09b34bbc1eca4bcf9783ddf6bb091e321a3eb5c5c

Aliases

arxiv: 1302.3987 · arxiv_version: 1302.3987v2 · doi: 10.48550/arxiv.1302.3987 · pith_short_12: SDM7S4PVPZVD · pith_short_16: SDM7S4PVPZVDR2XV · pith_short_8: SDM7S4PV

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/SDM7S4PVPZVDR2XV3LYJWNF3YH \
  | 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: 90d9f971f57e6a38eaf5daf09b34bbc1eca4bcf9783ddf6bb091e321a3eb5c5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21b3538db8a0916c1668fc7f0b3d2c5fecd3ff10c00fb4683b6692b4351ed9ab",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-02-16T18:54:39Z",
    "title_canon_sha256": "00caa66844892bcd710cd65a7dce45adcfaeeec1d1043242284ab83ece2b1e57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3987",
    "kind": "arxiv",
    "version": 2
  }
}