Pith Number

pith:FTQHFZPH

pith:2015:FTQHFZPHC3G4ZX6M7LUKOKAH2D

not attested not anchored not stored refs pending

Derivation of a $BC_n$ elliptic summation formula via the fundamental invariants

Masahiko Ito, Masatoshi Noumi

arxiv:1504.07108 v2 · 2015-04-27 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FTQHFZPHC3G4ZX6M7LUKOKAH2D}

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	2026-05-18T00:53:10.761763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ce072e5e716cdccdfccfae8a72807d0f7d878be7b62fb82076e42fd2e3ef7f0

Aliases

arxiv: 1504.07108 · arxiv_version: 1504.07108v2 · doi: 10.48550/arxiv.1504.07108 · pith_short_12: FTQHFZPHC3G4 · pith_short_16: FTQHFZPHC3G4ZX6M · pith_short_8: FTQHFZPH

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/FTQHFZPHC3G4ZX6M7LUKOKAH2D \
  | 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: 2ce072e5e716cdccdfccfae8a72807d0f7d878be7b62fb82076e42fd2e3ef7f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6be07b62676e812adab5ceea9759431b7b92bf07b13f8645b88b64f92a15e88d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-04-27T14:31:12Z",
    "title_canon_sha256": "9f4020343e33f30d8c5a4e4848b95a48dff4d66db74f48e7ee671cd2ccfe97bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07108",
    "kind": "arxiv",
    "version": 2
  }
}