Pith Number

pith:Y3QEPQXH

pith:2008:Y3QEPQXHX74KVETD5CUINLYTJB

not attested not anchored not stored refs pending

Affine tangles and irreducible exotic sheaves

Rina Anno

arxiv:0802.1070 v4 · 2008-02-07 · math.AG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y3QEPQXHX74KVETD5CUINLYTJB}

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	2026-05-18T01:21:14.333016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6e047c2e7bff8aa9263e8a886af1348761b5f76a3958fe645f49617c680afac

Aliases

arxiv: 0802.1070 · arxiv_version: 0802.1070v4 · doi: 10.48550/arxiv.0802.1070 · pith_short_12: Y3QEPQXHX74K · pith_short_16: Y3QEPQXHX74KVETD · pith_short_8: Y3QEPQXH

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/Y3QEPQXHX74KVETD5CUINLYTJB \
  | 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: c6e047c2e7bff8aa9263e8a886af1348761b5f76a3958fe645f49617c680afac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec6975fc2fc83279cc3907cc61d60d7f6a3eaecee0569a9eaeb1cabb19282b97",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-02-07T21:15:03Z",
    "title_canon_sha256": "47207656660fc1f7cf0c541c7d428b936274b663c2e20869a5d43bb79c2ea258"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.1070",
    "kind": "arxiv",
    "version": 4
  }
}