Pith Number

pith:UJRD5Q3B

pith:2013:UJRD5Q3BGC5AKZE7B5M564334D

not attested not anchored not stored refs pending

On Addition Formulae for Sigma Functions of Telescopic Curves

Atsushi Nakayashiki, Takanori Ayano

arxiv:1303.2878 v2 · 2013-03-12 · math.AG · math-ph · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UJRD5Q3BGC5AKZE7B5M564334D}

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	2026-05-18T03:20:35.070070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2623ec36130ba05649f0f59df737be0d487bef352c8af92d77566445771cadd

Aliases

arxiv: 1303.2878 · arxiv_version: 1303.2878v2 · doi: 10.48550/arxiv.1303.2878 · pith_short_12: UJRD5Q3BGC5A · pith_short_16: UJRD5Q3BGC5AKZE7 · pith_short_8: UJRD5Q3B

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/UJRD5Q3BGC5AKZE7B5M564334D \
  | 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: a2623ec36130ba05649f0f59df737be0d487bef352c8af92d77566445771cadd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f634ee6cf5abf1a2023633b926d8a3f83b430afe881430e8af2fdb32330c58e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-03-12T13:42:11Z",
    "title_canon_sha256": "b1129b5e4896113346d6bf4d21d571bc77af1d4d5ea67d0418334eea353de39d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2878",
    "kind": "arxiv",
    "version": 2
  }
}