Pith Number

pith:UYYLD646

pith:2010:UYYLD646RK4JW3F77NEHFAM3XT

not attested not anchored not stored refs pending

Canonical cohomology as an exterior module

Christian Schnell, Mihnea Popa, Robert Lazarsfeld

arxiv:1010.5026 v2 · 2010-10-25 · 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{UYYLD646RK4JW3F77NEHFAM3XT}

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	2026-05-18T04:22:50.008147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a630b1fb9e8ab89b6cbffb4872819bbce8ecc54ef15436fc9a54bb6cc52d47c7

Aliases

arxiv: 1010.5026 · arxiv_version: 1010.5026v2 · doi: 10.48550/arxiv.1010.5026 · pith_short_12: UYYLD646RK4J · pith_short_16: UYYLD646RK4JW3F7 · pith_short_8: UYYLD646

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/UYYLD646RK4JW3F77NEHFAM3XT \
  | 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: a630b1fb9e8ab89b6cbffb4872819bbce8ecc54ef15436fc9a54bb6cc52d47c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53191cf4a7ead19b4dd8ccae5e2bc3a4690e616b364834d56fd3a1d79a327670",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-10-25T00:27:14Z",
    "title_canon_sha256": "c338f94505a9d692e4ed38b3216bdd12e289519bf9ad37319ffcb3d0f7500117"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5026",
    "kind": "arxiv",
    "version": 2
  }
}