Pith Number

pith:RDFPMI47

pith:2010:RDFPMI47TICL2TLDVAAFAG5W37

not attested not anchored not stored refs pending

Static Klein-Gordon-Maxwell-Proca systems in 4-dimensional closed manifolds

Emmanuel Hebey, Trong Tuong Truong

arxiv:1012.3717 v2 · 2010-12-16 · 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{RDFPMI47TICL2TLDVAAFAG5W37}

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	2026-05-18T04:32:21.719142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88caf6239f9a04bd4d63a800501bb6dff46016382d08a920e393f9e989d1003c

Aliases

arxiv: 1012.3717 · arxiv_version: 1012.3717v2 · doi: 10.48550/arxiv.1012.3717 · pith_short_12: RDFPMI47TICL · pith_short_16: RDFPMI47TICL2TLD · pith_short_8: RDFPMI47

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/RDFPMI47TICL2TLDVAAFAG5W37 \
  | 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: 88caf6239f9a04bd4d63a800501bb6dff46016382d08a920e393f9e989d1003c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e04295e99ae1a929e7ff2cdaa72179c08d9fbe8304478c784d867cbcde1b2837",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-12-16T18:52:32Z",
    "title_canon_sha256": "69b993f3c17ed792a186949e80a49dc510df03b3e4b91ca2828885193d4374ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3717",
    "kind": "arxiv",
    "version": 2
  }
}