Pith Number

pith:TMRXAH7H

pith:2000:TMRXAH7HO5BIHQG5DLLZ67JWHW

not attested not anchored not stored refs pending

Mori Dream Spaces and GIT

Sean Keel, Yi Hu

arxiv:math/0004017 v1 · 2000-04-04 · 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{TMRXAH7HO5BIHQG5DLLZ67JWHW}

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	2026-07-04T14:34:26.876332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b23701fe7774283c0dd1ad79f7d363db711ed334cb14cd6ddc095689ca322c5

Aliases

arxiv: math/0004017 · arxiv_version: math/0004017v1 · doi: 10.48550/arxiv.math/0004017 · pith_short_12: TMRXAH7HO5BI · pith_short_16: TMRXAH7HO5BIHQG5 · pith_short_8: TMRXAH7H

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/TMRXAH7HO5BIHQG5DLLZ67JWHW \
  | 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: 9b23701fe7774283c0dd1ad79f7d363db711ed334cb14cd6ddc095689ca322c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ac7fb25f493ec6413de35b55aa642c09fb56855330dce14c21e8948ad374f97",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2000-04-04T16:43:36Z",
    "title_canon_sha256": "79320a28bab431d4fcbfce6484c5275b9fd7b6f76edd15aefab4203c1ca17437"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0004017",
    "kind": "arxiv",
    "version": 1
  }
}