Pith Number

pith:APBC4MP6

pith:2023:APBC4MP6HIV46F76KJIXEFPUFF

not attested not anchored not stored refs pending

Lepage Equivalents and the Variational Bicomplex

David Saunders

arxiv:2309.01594 v3 · 2023-09-04 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{APBC4MP6HIV46F76KJIXEFPUFF}

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	2026-07-05T07:43:11.269490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03c22e31fe3a2bcf17fe52517215f42947f4add625186e4f2dfd8c7479e76199

Aliases

arxiv: 2309.01594 · arxiv_version: 2309.01594v3 · doi: 10.48550/arxiv.2309.01594 · pith_short_12: APBC4MP6HIV4 · pith_short_16: APBC4MP6HIV46F76 · pith_short_8: APBC4MP6

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/APBC4MP6HIV46F76KJIXEFPUFF \
  | 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: 03c22e31fe3a2bcf17fe52517215f42947f4add625186e4f2dfd8c7479e76199

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "465d0e2df6e332d15bbff711b2af0a008feba775aa671bd06829936f74577ba0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2023-09-04T13:26:08Z",
    "title_canon_sha256": "3176f0e31e6eec54ed13e13b8625cd75f82ef07a67d94c9953e5a919da7331a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.01594",
    "kind": "arxiv",
    "version": 3
  }
}