Pith Number

pith:FFXQDWA4

pith:2005:FFXQDWA4OGYDAAREPWZKDWJVKA

not attested not anchored not stored refs pending

Toroidalization of generating sequences in dimension two function fields

Huy Tai Ha, Laura Ghezzi, Olga Kashcheyeva

arxiv:math/0509697 v1 · 2005-09-29 · math.AC · 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{FFXQDWA4OGYDAAREPWZKDWJVKA}

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	2026-05-18T01:05:23.048685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

296f01d81c71b03002247db2a1d9355034a252cc1293fa8c54891db358c9c22d

Aliases

arxiv: math/0509697 · arxiv_version: math/0509697v1 · doi: 10.48550/arxiv.math/0509697 · pith_short_12: FFXQDWA4OGYD · pith_short_16: FFXQDWA4OGYDAARE · pith_short_8: FFXQDWA4

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/FFXQDWA4OGYDAAREPWZKDWJVKA \
  | 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: 296f01d81c71b03002247db2a1d9355034a252cc1293fa8c54891db358c9c22d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8337e91d3a401ec5349a630318b688ddf807cfe70c3151f5a12539aa7eb20cf",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.AC",
    "submitted_at": "2005-09-29T14:54:09Z",
    "title_canon_sha256": "9d02d6bd8fa1ff9fb9566b2cbc085a1bc07c5ac168f775a1904246d9e39000ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509697",
    "kind": "arxiv",
    "version": 1
  }
}