Pith Number

pith:VX6IK7AY

pith:2012:VX6IK7AYEM5PJM3A6ECW6SBKAZ

not attested not anchored not stored refs pending

Cohomology and base change for algebraic stacks

Jack Hall

arxiv:1206.4179 v2 · 2012-06-19 · 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{VX6IK7AYEM5PJM3A6ECW6SBKAZ}

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	2026-05-18T03:30:53.767449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adfc857c18233af4b360f1056f482a06623899f0219800f4541a714c366ebd26

Aliases

arxiv: 1206.4179 · arxiv_version: 1206.4179v2 · doi: 10.48550/arxiv.1206.4179 · pith_short_12: VX6IK7AYEM5P · pith_short_16: VX6IK7AYEM5PJM3A · pith_short_8: VX6IK7AY

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/VX6IK7AYEM5PJM3A6ECW6SBKAZ \
  | 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: adfc857c18233af4b360f1056f482a06623899f0219800f4541a714c366ebd26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5863a9cc4ab67ba058355125d2c8519d8431cb45b0000c602ac0f40d543eed7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-06-19T11:36:23Z",
    "title_canon_sha256": "c6d967a9edb95c38189d3618d24d44705bca3a8163d1931348acf0353b4223a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4179",
    "kind": "arxiv",
    "version": 2
  }
}