Pith Number

pith:5R6UY2GZ

pith:2011:5R6UY2GZ4R3CCIN7OH52H3W5Y2

not attested not anchored not stored refs pending

Pr\"ufer algebraic spaces

Ilya Tyomkin, Michael Temkin

arxiv:1101.3199 v3 · 2011-01-17 · 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{5R6UY2GZ4R3CCIN7OH52H3W5Y2}

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	2026-05-18T01:13:31.443617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec7d4c68d9e4762121bf71fba3eeddc6bae4b0e0612ec31d29f9ba7c046cfed3

Aliases

arxiv: 1101.3199 · arxiv_version: 1101.3199v3 · doi: 10.48550/arxiv.1101.3199 · pith_short_12: 5R6UY2GZ4R3C · pith_short_16: 5R6UY2GZ4R3CCIN7 · pith_short_8: 5R6UY2GZ

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/5R6UY2GZ4R3CCIN7OH52H3W5Y2 \
  | 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: ec7d4c68d9e4762121bf71fba3eeddc6bae4b0e0612ec31d29f9ba7c046cfed3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0ce7ec829d30f33546eaaba7033f31da663eb8bf184fcfb19c2cb0ffaf8abfa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-01-17T13:04:56Z",
    "title_canon_sha256": "aebb3f020d9baa82ae5e7add6ee3ab86fadde7001846d8a27bb75464b2bbaf65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3199",
    "kind": "arxiv",
    "version": 3
  }
}