Pith Number

pith:64TRMUCV

pith:2012:64TRMUCVDE22QKK7UH34KU4MZ3

not attested not anchored not stored refs pending

Some New Addition Formulae for Weierstrass Elliptic Functions

J. Chris Eilbeck, Matthew England, Yoshihiro \^Onishi

arxiv:1207.6274 v2 · 2012-07-26 · math.AG · 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{64TRMUCVDE22QKK7UH34KU4MZ3}

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	2026-05-18T02:43:37.190348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7271650551935a8295fa1f7c5538ccef42d96b3d68fb0fd5e8d76254730432d

Aliases

arxiv: 1207.6274 · arxiv_version: 1207.6274v2 · doi: 10.48550/arxiv.1207.6274 · pith_short_12: 64TRMUCVDE22 · pith_short_16: 64TRMUCVDE22QKK7 · pith_short_8: 64TRMUCV

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/64TRMUCVDE22QKK7UH34KU4MZ3 \
  | 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: f7271650551935a8295fa1f7c5538ccef42d96b3d68fb0fd5e8d76254730432d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d28f90e6252b4972b5357846de17f7eda9af93777f1bc4d93f8cb7efb4c0362",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-07-26T13:50:53Z",
    "title_canon_sha256": "3f096cecb6c1b34286e087c608e2706dba0595aa7cc7d34e7651674d9f5cc7a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6274",
    "kind": "arxiv",
    "version": 2
  }
}