Pith Number

pith:VDTTDUXI

pith:2004:VDTTDUXIFSUG62SW2NBVTJAQBM

not attested not anchored not stored refs pending

Canonical Maps to Twisted Rings

D. Rogalski, J. J. Zhang

arxiv:math/0409405 v2 · 2004-09-21 · math.RA · 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{VDTTDUXIFSUG62SW2NBVTJAQBM}

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	2026-07-04T14:39:05.713378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8e731d2e82ca86f6a56d34359a4100b1697cc7bc366e09752e9ae45a2caa2fd

Aliases

arxiv: math/0409405 · arxiv_version: math/0409405v2 · doi: 10.48550/arxiv.math/0409405 · pith_short_12: VDTTDUXIFSUG · pith_short_16: VDTTDUXIFSUG62SW · pith_short_8: VDTTDUXI

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/VDTTDUXIFSUG62SW2NBVTJAQBM \
  | 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: a8e731d2e82ca86f6a56d34359a4100b1697cc7bc366e09752e9ae45a2caa2fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9cd513c8a7a197bfd6ca4163ff9223c118c4d97c373ec027552efecf5a291c7",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2004-09-21T16:16:50Z",
    "title_canon_sha256": "c745f0b331487160c4157a19fa1e88fe13fe583d9c3cd9b6373fdb26988095ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0409405",
    "kind": "arxiv",
    "version": 2
  }
}