Pith Number

pith:VSNEHQJX

pith:2015:VSNEHQJXHVCFQQURX6ZAT6BHLN

not attested not anchored not stored refs pending

Indirect Influences on Directed Manifolds

Leonardo Cano, Rafael Diaz

arxiv:1507.01017 v4 · 2015-07-03 · math-ph · math.CA · math.DG · 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{VSNEHQJXHVCFQQURX6ZAT6BHLN}

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	2026-05-18T01:16:26.337947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac9a43c1373d44584291bfb209f8275b45c54d8704e47f1fb3791da7ad994b2c

Aliases

arxiv: 1507.01017 · arxiv_version: 1507.01017v4 · doi: 10.48550/arxiv.1507.01017 · pith_short_12: VSNEHQJXHVCF · pith_short_16: VSNEHQJXHVCFQQUR · pith_short_8: VSNEHQJX

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/VSNEHQJXHVCFQQURX6ZAT6BHLN \
  | 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: ac9a43c1373d44584291bfb209f8275b45c54d8704e47f1fb3791da7ad994b2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21c8d380c227cc642c1e302c1459f134fbc75242db0bf82deca3ae1bcd2cf900",
    "cross_cats_sorted": [
      "math.CA",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-07-03T20:17:08Z",
    "title_canon_sha256": "405d92aba5b7bfd13ccfff557173c3d8381eeb4a0e0d3ab6c15afd48d661b245"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01017",
    "kind": "arxiv",
    "version": 4
  }
}