Pith Number

pith:APBWG27J

pith:2016:APBWG27JHHDXQ63P6LCINAKIWI

not attested not anchored not stored refs pending

Elliptic Hypergeometric Functions

Hjalmar Rosengren

arxiv:1608.06161 v3 · 2016-08-22 · math.CA · cond-mat.stat-mech · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{APBWG27JHHDXQ63P6LCINAKIWI}

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	2026-05-18T00:42:07.604788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03c3636be939c7787b6ff2c4868148b20f8276396b260f60ab80e27e17e09462

Aliases

arxiv: 1608.06161 · arxiv_version: 1608.06161v3 · doi: 10.48550/arxiv.1608.06161 · pith_short_12: APBWG27JHHDX · pith_short_16: APBWG27JHHDXQ63P · pith_short_8: APBWG27J

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/APBWG27JHHDXQ63P6LCINAKIWI \
  | 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: 03c3636be939c7787b6ff2c4868148b20f8276396b260f60ab80e27e17e09462

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6c427dbda1a211c9caf696c4963e18681c2986bf04f67bcd6dbbb3336557a08",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-08-22T13:25:50Z",
    "title_canon_sha256": "35c8ae6afa79ac57c72d3d111e2c2dff035d128529b15dc7c2e1f0a006f43cb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06161",
    "kind": "arxiv",
    "version": 3
  }
}