Pith Number

pith:HJPDRU5G

pith:2012:HJPDRU5GRNMPDZFMOUZUCDDPKD

not attested not anchored not stored refs pending

Recurrence relations of Kummer functions and Regge string scattering amplitudes

Jen-Chi Lee, Yoshihiro Mitsuka

arxiv:1212.6915 v2 · 2012-12-31 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HJPDRU5GRNMPDZFMOUZUCDDPKD}

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	2026-05-18T01:52:22.603852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a5e38d3a68b58f1e4ac7533410c6f50fea59c4f6079ffe4d7857bc211d8bab9

Aliases

arxiv: 1212.6915 · arxiv_version: 1212.6915v2 · doi: 10.48550/arxiv.1212.6915 · pith_short_12: HJPDRU5GRNMP · pith_short_16: HJPDRU5GRNMPDZFM · pith_short_8: HJPDRU5G

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/HJPDRU5GRNMPDZFMOUZUCDDPKD \
  | 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: 3a5e38d3a68b58f1e4ac7533410c6f50fea59c4f6079ffe4d7857bc211d8bab9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa6d35bbf90057068320dd2ea6547113ff6d65b29d668f8f1e02d2e0851b3c07",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-12-31T15:57:22Z",
    "title_canon_sha256": "d27fb020eff02f39a3ac3337da3ba9a13d8c211e3f77f72cc96124c152872013"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6915",
    "kind": "arxiv",
    "version": 2
  }
}