Pith Number

pith:BXA3BBF2

pith:2015:BXA3BBF2RLTIA32UFUKANB533S

not attested not anchored not stored refs pending

Integration by parts identities in integer numbers of dimensions. A criterion for decoupling systems of differential equations

Lorenzo Tancredi

arxiv:1509.03330 v2 · 2015-09-10 · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BXA3BBF2RLTIA32UFUKANB533S}

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	2026-05-18T01:24:52.448596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dc1b084ba8ae6806f542d140687bbdca35b2cb3d19057104f911f113aaee1a2

Aliases

arxiv: 1509.03330 · arxiv_version: 1509.03330v2 · doi: 10.48550/arxiv.1509.03330 · pith_short_12: BXA3BBF2RLTI · pith_short_16: BXA3BBF2RLTIA32U · pith_short_8: BXA3BBF2

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/BXA3BBF2RLTIA32UFUKANB533S \
  | 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: 0dc1b084ba8ae6806f542d140687bbdca35b2cb3d19057104f911f113aaee1a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "075bfdff392c803a61ce35741db41ec39ec593c20db88f4a48a8245038ab0935",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2015-09-10T20:36:47Z",
    "title_canon_sha256": "1dfc76c359d6a318a5c53b114bbc4637fa94cdc06181d25ab0d5d75de4058584"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03330",
    "kind": "arxiv",
    "version": 2
  }
}