Pith Number

pith:6SM6UW6Y

pith:2006:6SM6UW6YHRZZNHQ5IXAHNMQKPJ

not attested not anchored not stored refs pending

Toric fiber products

Seth Sullivant

arxiv:math/0602052 v1 · 2006-02-02 · 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{6SM6UW6YHRZZNHQ5IXAHNMQKPJ}

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	2026-07-04T14:53:22.538812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f499ea5bd83c73969e1d45c076b20a7a6b696310ff97fbf851651ca16d7890ab

Aliases

arxiv: math/0602052 · arxiv_version: math/0602052v1 · doi: 10.48550/arxiv.math/0602052 · pith_short_12: 6SM6UW6YHRZZ · pith_short_16: 6SM6UW6YHRZZNHQ5 · pith_short_8: 6SM6UW6Y

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/6SM6UW6YHRZZNHQ5IXAHNMQKPJ \
  | 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: f499ea5bd83c73969e1d45c076b20a7a6b696310ff97fbf851651ca16d7890ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89621582570442ab48fc3f57cd30b97df930e2ee1367ef26f8ab9421ad99a982",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AC",
    "submitted_at": "2006-02-02T19:16:26Z",
    "title_canon_sha256": "db705c1ef78a31985f6a8035a9c6fc2a1bb03ac0889f2ae73043aa6e8d8e053e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0602052",
    "kind": "arxiv",
    "version": 1
  }
}