Pith Number

pith:XYUNXC6C

pith:2010:XYUNXC6C3LIGFZ3B4KOERRPBKO

not attested not anchored not stored refs pending

Potential Sha for abelian varieties

Brendan Creutz

arxiv:1010.3349 v2 · 2010-10-16 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XYUNXC6C3LIGFZ3B4KOERRPBKO}

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	2026-05-18T01:24:13.068838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be28db8bc2dad062e761e29c48c5e153b49e284f0c3f7de405ac93151fc56bf2

Aliases

arxiv: 1010.3349 · arxiv_version: 1010.3349v2 · doi: 10.48550/arxiv.1010.3349 · pith_short_12: XYUNXC6C3LIG · pith_short_16: XYUNXC6C3LIGFZ3B · pith_short_8: XYUNXC6C

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/XYUNXC6C3LIGFZ3B4KOERRPBKO \
  | 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: be28db8bc2dad062e761e29c48c5e153b49e284f0c3f7de405ac93151fc56bf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7abfb1efc178040f3650c4b09bb30b5581aa13cc38cba29ef868c05a433e55f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-10-16T13:09:05Z",
    "title_canon_sha256": "0b4e19facb6bbf4ada6ed1024884142701d7156457b6d86961de0396d401ba76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3349",
    "kind": "arxiv",
    "version": 2
  }
}