Pith Number

pith:HOA7NJTO

pith:2015:HOA7NJTOSTOZ7TWWHLMFFBMCM7

not attested not anchored not stored refs pending

Real Functions for Physics

Jorge L. deLyra

arxiv:1507.01538 v1 · 2015-07-06 · math-ph · math.AP · math.CV · 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{HOA7NJTOSTOZ7TWWHLMFFBMCM7}

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	2026-05-18T01:37:16.645056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b81f6a66e94dd9fced63ad852858267ed012b75bf5f226b2d7ff2d38690481c

Aliases

arxiv: 1507.01538 · arxiv_version: 1507.01538v1 · doi: 10.48550/arxiv.1507.01538 · pith_short_12: HOA7NJTOSTOZ · pith_short_16: HOA7NJTOSTOZ7TWW · pith_short_8: HOA7NJTO

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/HOA7NJTOSTOZ7TWWHLMFFBMCM7 \
  | 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: 3b81f6a66e94dd9fced63ad852858267ed012b75bf5f226b2d7ff2d38690481c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1520cc0cfc0e365a0ac07dd753ffc3e110813f7ee2dbc5de585b656e54a6b241",
    "cross_cats_sorted": [
      "math.AP",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-07-06T16:46:07Z",
    "title_canon_sha256": "68c82ef277d89c8d67b25e2347410e0791cf7d468a0c73cbdf911eded3949523"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01538",
    "kind": "arxiv",
    "version": 1
  }
}