Pith Number

pith:ZXGVJ4V6

pith:2009:ZXGVJ4V6WHQHQTVLMNKKDM5TKI

not attested not anchored not stored refs pending

Hodge-Frobenius equations and the Hodge-Backlund transformation

Antonella Marini, Thomas H. Otway

arxiv:0907.2685 v1 · 2009-07-15 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZXGVJ4V6WHQHQTVLMNKKDM5TKI}

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	2026-05-18T04:32:56.032451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdcd54f2beb1e0784eab6354a1b3b3523258c5e606a1f25c2b6673e39db6c06a

Aliases

arxiv: 0907.2685 · arxiv_version: 0907.2685v1 · doi: 10.48550/arxiv.0907.2685 · pith_short_12: ZXGVJ4V6WHQH · pith_short_16: ZXGVJ4V6WHQHQTVL · pith_short_8: ZXGVJ4V6

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/ZXGVJ4V6WHQHQTVLMNKKDM5TKI \
  | 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: cdcd54f2beb1e0784eab6354a1b3b3523258c5e606a1f25c2b6673e39db6c06a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d5a4a5a88b45e5c0fc445b4290509e9e72482563e0832723f888c7123bb0bec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-07-15T19:26:49Z",
    "title_canon_sha256": "ebb90d0051e3c8a6a45ce755efee272155abbd00597558613c95bc52fb218315"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.2685",
    "kind": "arxiv",
    "version": 1
  }
}