Pith Number

pith:W2EBUKXY

pith:2010:W2EBUKXY2BLGDK7F64OBGI2II5

not attested not anchored not stored refs pending

Stable cohomology of the universal Picard varieties and the extended mapping class group

Johannes Ebert, Oscar Randal-Williams

arxiv:1012.0901 v2 · 2010-12-04 · math.AT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W2EBUKXY2BLGDK7F64OBGI2II5}

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	2026-05-18T02:28:29.643123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6881a2af8d05661abe5f71c132348475943c0bfe61bd3baa300de54013bb934

Aliases

arxiv: 1012.0901 · arxiv_version: 1012.0901v2 · doi: 10.48550/arxiv.1012.0901 · pith_short_12: W2EBUKXY2BLG · pith_short_16: W2EBUKXY2BLGDK7F · pith_short_8: W2EBUKXY

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/W2EBUKXY2BLGDK7F64OBGI2II5 \
  | 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: b6881a2af8d05661abe5f71c132348475943c0bfe61bd3baa300de54013bb934

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "891239e7121af936cf255c1d4c7bad6b8ac5b0d88e07194da0cf6f982816fbac",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2010-12-04T10:43:44Z",
    "title_canon_sha256": "8c1c0b39cd5c97981dccb0895b3acf4c7aacde104c0631255d465828382faf03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0901",
    "kind": "arxiv",
    "version": 2
  }
}