Pith Number

pith:EQG5E4FY

pith:2015:EQG5E4FYS4CQEX2JKH3V5XGY4W

not attested not anchored not stored refs pending

Artin algebraization and quotient stacks

Jarod Alper

arxiv:1510.07804 v1 · 2015-10-27 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EQG5E4FYS4CQEX2JKH3V5XGY4W}

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	2026-05-18T01:29:12.537544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

240dd270b89705025f4951f75edcd8e5a1b1e9ce48351de0445eeb605d3d98d4

Aliases

arxiv: 1510.07804 · arxiv_version: 1510.07804v1 · doi: 10.48550/arxiv.1510.07804 · pith_short_12: EQG5E4FYS4CQ · pith_short_16: EQG5E4FYS4CQEX2J · pith_short_8: EQG5E4FY

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/EQG5E4FYS4CQEX2JKH3V5XGY4W \
  | 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: 240dd270b89705025f4951f75edcd8e5a1b1e9ce48351de0445eeb605d3d98d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff9dd5191714ed2f51a155de8b376dc39c3afa882d4173344c7c1fe634ea961c",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-10-27T08:12:43Z",
    "title_canon_sha256": "96b18cae38d909b9490a9aed6270e1e3acf954010a5b55d828db9dcc17f22bb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07804",
    "kind": "arxiv",
    "version": 1
  }
}