Pith Number

pith:OFHGPOHH

pith:2001:OFHGPOHHBH52KFC6P4GQK2Q7CJ

not attested not anchored not stored refs pending

Difference Discrete Variational Principle,EULER-Lagrange Cohomology and Symplectic, Multisymplectic Structures

H.Y. Guo, K. Wu, S.K. Wang, Y.Q. Li

arxiv:math-ph/0106001 v1 · 2001-06-01 · math-ph · math.MP · math.NA · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OFHGPOHHBH52KFC6P4GQK2Q7CJ}

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	2026-05-18T00:25:46.079157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

714e67b8e709fba5145e7f0d056a1f1254b7c3b0732929c2069736c5245be60f

Aliases

arxiv: math-ph/0106001 · arxiv_version: math-ph/0106001v1 · doi: 10.48550/arxiv.math-ph/0106001 · pith_short_12: OFHGPOHHBH52 · pith_short_16: OFHGPOHHBH52KFC6 · pith_short_8: OFHGPOHH

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/OFHGPOHHBH52KFC6P4GQK2Q7CJ \
  | 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: 714e67b8e709fba5145e7f0d056a1f1254b7c3b0732929c2069736c5245be60f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b015625dd0d94b91b511ac8fb5177c8f04a4877d21b1213786f5176e63c71d4",
    "cross_cats_sorted": [
      "math.MP",
      "math.NA",
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2001-06-01T04:07:51Z",
    "title_canon_sha256": "df7522734689ed294d6395011cbfbf915f0cdea450498e496ffd6cbf591e835a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0106001",
    "kind": "arxiv",
    "version": 1
  }
}