Pith Number

pith:3EEY7U3M

pith:2014:3EEY7U3MVYZ77PNITYOB5WEBVA

not attested not anchored not stored refs pending

Duality for commutative group stacks

Sylvain Brochard

arxiv:1404.0285 v3 · 2014-04-01 · 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{3EEY7U3MVYZ77PNITYOB5WEBVA}

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	2026-05-17T23:42:49.330303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9098fd36cae33ffbda89e1c1ed881a8339fc34ab61b13e5a3d3050027976846

Aliases

arxiv: 1404.0285 · arxiv_version: 1404.0285v3 · doi: 10.48550/arxiv.1404.0285 · pith_short_12: 3EEY7U3MVYZ7 · pith_short_16: 3EEY7U3MVYZ77PNI · pith_short_8: 3EEY7U3M

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/3EEY7U3MVYZ77PNITYOB5WEBVA \
  | 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: d9098fd36cae33ffbda89e1c1ed881a8339fc34ab61b13e5a3d3050027976846

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a12777bee5e20499ab761a057e117a49a5355bdb40898c6a8d92ed4f4c442fe8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-04-01T15:53:24Z",
    "title_canon_sha256": "9f04902e8daa91f146eb53deff9d45df3da3c408514556801c12757ebb30965a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.0285",
    "kind": "arxiv",
    "version": 3
  }
}