Pith Number

pith:JG5S33XQ

pith:2012:JG5S33XQA5LE2KE4JJBJFVGTKT

not attested not anchored not stored refs pending

On Hodge decomposition and conformal variational problems

Klas Modin, Matthew Perlmutter, Robert McLachlan, Stephen Marsland

arxiv:1203.4464 v1 · 2012-03-20 · 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{JG5S33XQA5LE2KE4JJBJFVGTKT}

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	2026-05-18T01:06:24.915654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49bb2deef007564d289c4a4292d4d354d508e29a4ad9eb002b272dd7ab1b7154

Aliases

arxiv: 1203.4464 · arxiv_version: 1203.4464v1 · doi: 10.48550/arxiv.1203.4464 · pith_short_12: JG5S33XQA5LE · pith_short_16: JG5S33XQA5LE2KE4 · pith_short_8: JG5S33XQ

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/JG5S33XQA5LE2KE4JJBJFVGTKT \
  | 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: 49bb2deef007564d289c4a4292d4d354d508e29a4ad9eb002b272dd7ab1b7154

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecdb957e926d2afb9dc2f4fee0ff6a10595b6fa62e275815b2f1cc80d99d212c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-03-20T15:14:06Z",
    "title_canon_sha256": "c03dcbbff691048429ba3d325089dcd91dfeb2d4195314182b122928d19df13f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4464",
    "kind": "arxiv",
    "version": 1
  }
}