Pith Number

pith:2GV4YXUY

pith:2015:2GV4YXUYUMDYKWNHPD5DBZ6G3K

not attested not anchored not stored refs pending

Tau Function Approach to Theta Functions

Atsushi Nakayashiki

arxiv:1504.01186 v1 · 2015-04-06 · math-ph · math.AG · math.MP · math.QA · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2GV4YXUYUMDYKWNHPD5DBZ6G3K}

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	2026-05-18T02:19:34.961079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1abcc5e98a3078559a778fa30e7c6daa6df4b1bf672e75b73655397a7f59972

Aliases

arxiv: 1504.01186 · arxiv_version: 1504.01186v1 · doi: 10.48550/arxiv.1504.01186 · pith_short_12: 2GV4YXUYUMDY · pith_short_16: 2GV4YXUYUMDYKWNH · pith_short_8: 2GV4YXUY

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/2GV4YXUYUMDYKWNHPD5DBZ6G3K \
  | 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: d1abcc5e98a3078559a778fa30e7c6daa6df4b1bf672e75b73655397a7f59972

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52fa640ce79f78d8527c757394a93131a89bd6d59e03fa41a71dfcf25e80b62a",
    "cross_cats_sorted": [
      "math.AG",
      "math.MP",
      "math.QA",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-04-06T02:08:30Z",
    "title_canon_sha256": "dcd2317510fb41358fb1a94fbd0274a9e018d0d744c2152878214e9824d50260"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01186",
    "kind": "arxiv",
    "version": 1
  }
}