Pith Number

pith:DIDX6MKH

pith:2013:DIDX6MKHP275JQTTKVMGT45EOE

not attested not anchored not stored refs pending

Singularities and Characteristic Classes for Differentiable Maps

Toru Ohmoto

arxiv:1309.0661 v3 · 2013-09-03 · math.AG · 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{DIDX6MKHP275JQTTKVMGT45EOE}

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	2026-05-18T00:37:58.837700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a077f31477ebfd4c273555869f3a47135f6e62ab2da9e8fe73b6b6f07cef91b

Aliases

arxiv: 1309.0661 · arxiv_version: 1309.0661v3 · doi: 10.48550/arxiv.1309.0661 · pith_short_12: DIDX6MKHP275 · pith_short_16: DIDX6MKHP275JQTT · pith_short_8: DIDX6MKH

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/DIDX6MKHP275JQTTKVMGT45EOE \
  | 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: 1a077f31477ebfd4c273555869f3a47135f6e62ab2da9e8fe73b6b6f07cef91b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87c9f69e38b7bf2acea2a0ecb8166b586ab2fa19eec32a9ab0733d25956ec93c",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-09-03T12:53:45Z",
    "title_canon_sha256": "b6b9499700f29fbff980786d1cca713a02d2b780cc9976668278407dd8d061f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0661",
    "kind": "arxiv",
    "version": 3
  }
}