Pith Number

pith:EOLUA5GJ

pith:2013:EOLUA5GJ7Q54I2ILRG3TDLMQWD

not attested not anchored not stored refs pending

Refinements to Mumford's theta and adelic theta groups

Nathan Grieve

arxiv:1312.2970 v2 · 2013-12-10 · 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{EOLUA5GJ7Q54I2ILRG3TDLMQWD}

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	2026-05-18T00:06:44.303529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23974074c9fc3bc4690b89b731ad90b0c282ac39d2268f348b009739b32b39c6

Aliases

arxiv: 1312.2970 · arxiv_version: 1312.2970v2 · doi: 10.48550/arxiv.1312.2970 · pith_short_12: EOLUA5GJ7Q54 · pith_short_16: EOLUA5GJ7Q54I2IL · pith_short_8: EOLUA5GJ

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/EOLUA5GJ7Q54I2ILRG3TDLMQWD \
  | 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: 23974074c9fc3bc4690b89b731ad90b0c282ac39d2268f348b009739b32b39c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0c5c7cf99b8f9f20d658713af09379b14f665894ebad6f5c69d555eec2fa0ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-12-10T21:28:49Z",
    "title_canon_sha256": "441225d18f9eca1b83377a0b313a06b32bae04f13b1250b55cf259851916bb2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.2970",
    "kind": "arxiv",
    "version": 2
  }
}