Pith Number

pith:CELZ7WS2

pith:2006:CELZ7WS2DZMRDVR4YZ5GGIH7V6

not attested not anchored not stored refs pending

On the determinant bundles of abelian schemes

Damian R\"ossler, Vincent Maillot

arxiv:math/0611105 v2 · 2006-11-04 · 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{CELZ7WS2DZMRDVR4YZ5GGIH7V6}

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	2026-05-18T03:02:31.113350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11179fda5a1e5911d63cc67a6320ffaf912f664ba2b88e7b99be13da5126e492

Aliases

arxiv: math/0611105 · arxiv_version: math/0611105v2 · doi: 10.48550/arxiv.math/0611105 · pith_short_12: CELZ7WS2DZMR · pith_short_16: CELZ7WS2DZMRDVR4 · pith_short_8: CELZ7WS2

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/CELZ7WS2DZMRDVR4YZ5GGIH7V6 \
  | 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: 11179fda5a1e5911d63cc67a6320ffaf912f664ba2b88e7b99be13da5126e492

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8305742a34157819eea2c79ad9979f8052fa2f91d7db2f283f4b2b56aa1d6924",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2006-11-04T18:06:04Z",
    "title_canon_sha256": "886a0f225dd0b15944ece503c4eae5df61383c9dea2dcd58c24c1bdd0eeea902"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611105",
    "kind": "arxiv",
    "version": 2
  }
}