Pith Number

pith:DNHCQG2I

pith:2013:DNHCQG2IKYLY4NNGUMNS6MYGXI

not attested not anchored not stored refs pending

Secondary characteristic classes and the Euler class

Aravind Asok, Jean Fasel

arxiv:1307.6831 v2 · 2013-07-25 · math.AG · math.AC · math.AT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DNHCQG2IKYLY4NNGUMNS6MYGXI}

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	2026-05-18T02:19:08.654451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b4e281b4856178e35a6a31b2f3306ba3ffb920715c169cd18f7bdd6a5b00cfb

Aliases

arxiv: 1307.6831 · arxiv_version: 1307.6831v2 · doi: 10.48550/arxiv.1307.6831 · pith_short_12: DNHCQG2IKYLY · pith_short_16: DNHCQG2IKYLY4NNG · pith_short_8: DNHCQG2I

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/DNHCQG2IKYLY4NNGUMNS6MYGXI \
  | 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: 1b4e281b4856178e35a6a31b2f3306ba3ffb920715c169cd18f7bdd6a5b00cfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90ba087a5371dc8be369c77302c7e4cc358966903b9f141fd1b5f216ef388ba1",
    "cross_cats_sorted": [
      "math.AC",
      "math.AT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-07-25T18:15:59Z",
    "title_canon_sha256": "2cfa58873a390dedcfcd5db051817c48fdb5ac7127199f6bc5436f208ad83452"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6831",
    "kind": "arxiv",
    "version": 2
  }
}