Pith Number

pith:TYTIVAD6

pith:2015:TYTIVAD6GSO3EHTIADQ6PBARC2

not attested not anchored not stored refs pending

The local symbol complex of a Reciprocity Functor

Evangelia Gazaki

arxiv:1504.08277 v2 · 2015-04-30 · 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{TYTIVAD6GSO3EHTIADQ6PBARC2}

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	2026-05-18T01:10:10.640380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e268a807e349db21e6800e1e78411169042c7f7f7d3723af68cb9e50d364379

Aliases

arxiv: 1504.08277 · arxiv_version: 1504.08277v2 · doi: 10.48550/arxiv.1504.08277 · pith_short_12: TYTIVAD6GSO3 · pith_short_16: TYTIVAD6GSO3EHTI · pith_short_8: TYTIVAD6

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/TYTIVAD6GSO3EHTIADQ6PBARC2 \
  | 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: 9e268a807e349db21e6800e1e78411169042c7f7f7d3723af68cb9e50d364379

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7b122773316161128e271cb8c7d299362d364bb0d7bca1ba0b316e128a2f295",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-04-30T15:40:58Z",
    "title_canon_sha256": "5a10fdd8949f1b45f986501c460794c503507686026cd43e840a172a808f9c63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.08277",
    "kind": "arxiv",
    "version": 2
  }
}