Pith Number

pith:OZPI4LIA

pith:2013:OZPI4LIAHF5O63WLUAKP5LGM3U

not attested not anchored not stored refs pending

F-zeta geometry, Tate motives, and the Habiro ring

Catharine Wing Kwan Lo, Matilde Marcolli

arxiv:1310.2261 v1 · 2013-10-08 · 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{OZPI4LIAHF5O63WLUAKP5LGM3U}

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	2026-05-18T03:10:57.492361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

765e8e2d00397aef6ecba014feacccdd0c9e0369d25f54e2e090ad07ac6960ce

Aliases

arxiv: 1310.2261 · arxiv_version: 1310.2261v1 · doi: 10.48550/arxiv.1310.2261 · pith_short_12: OZPI4LIAHF5O · pith_short_16: OZPI4LIAHF5O63WL · pith_short_8: OZPI4LIA

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/OZPI4LIAHF5O63WLUAKP5LGM3U \
  | 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: 765e8e2d00397aef6ecba014feacccdd0c9e0369d25f54e2e090ad07ac6960ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1247bf87306fe34f108dc9cffd982f5d3145247fbea0c671ae9240ba3376b31a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-10-08T20:09:49Z",
    "title_canon_sha256": "640f06e0de02cd9e6f5234d102e7284274506db31ad558c7282f3c4ae4381efc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2261",
    "kind": "arxiv",
    "version": 1
  }
}