Pith Number

pith:FGTBW6BL

pith:2016:FGTBW6BLZ3HBXX77JRW3MZXSVY

not attested not anchored not stored refs pending

Power structure over the Grothendieck ring of maps

Alejandro Melle-Hern\'andez, Ignacio Luengo, Sabir M. Gusein-Zade

arxiv:1609.08452 v2 · 2016-09-27 · 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{FGTBW6BLZ3HBXX77JRW3MZXSVY}

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	2026-05-18T00:44:15.872990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29a61b782bcece1bdfff4c6db666f2ae36571ff56db43c92b37a5b5f8020d6a2

Aliases

arxiv: 1609.08452 · arxiv_version: 1609.08452v2 · doi: 10.48550/arxiv.1609.08452 · pith_short_12: FGTBW6BLZ3HB · pith_short_16: FGTBW6BLZ3HBXX77 · pith_short_8: FGTBW6BL

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/FGTBW6BLZ3HBXX77JRW3MZXSVY \
  | 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: 29a61b782bcece1bdfff4c6db666f2ae36571ff56db43c92b37a5b5f8020d6a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "146fd21ba7df87b207e3b9a7380695a3c88d99872ee9cee370677f6ea86c0fe8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-09-27T14:03:30Z",
    "title_canon_sha256": "dff964211dd23373c9af31fdb7b62dacdff4ba0940391b994a9d7c32846047e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08452",
    "kind": "arxiv",
    "version": 2
  }
}