Pith Number

pith:KPPMSQ53

pith:2015:KPPMSQ537HJIDFLX72ZMFH3MWT

not attested not anchored not stored refs pending

Deligne pairing and Quillen metric

Georg Schumacher, Indranil Biswas

arxiv:1501.02539 v1 · 2015-01-12 · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KPPMSQ537HJIDFLX72ZMFH3MWT}

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	2026-05-18T02:29:37.733191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53dec943bbf9d2819577feb2c29f6cb4e8d3d7331b44d0a23f462b2124248799

Aliases

arxiv: 1501.02539 · arxiv_version: 1501.02539v1 · doi: 10.48550/arxiv.1501.02539 · pith_short_12: KPPMSQ537HJI · pith_short_16: KPPMSQ537HJIDFLX · pith_short_8: KPPMSQ53

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/KPPMSQ537HJIDFLX72ZMFH3MWT \
  | 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: 53dec943bbf9d2819577feb2c29f6cb4e8d3d7331b44d0a23f462b2124248799

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ed683d2100f9b788c243ef38b1b5a129e4c84488e00e68fb665c9080c27f91b",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-01-12T04:30:24Z",
    "title_canon_sha256": "03599829119661e76f685ec84d89f4dfeb0493c326f2cb6fe5d8414d747f42db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02539",
    "kind": "arxiv",
    "version": 1
  }
}