Pith Number

pith:G3YPT3MO

pith:2010:G3YPT3MOZGTHPTNDXOK5MXQMJK

not attested not anchored not stored refs pending

Loop Vertex Expansion for Phi^2k Theory in Zero Dimension

Vincent Rivasseau, Zhituo Wang

arxiv:1003.1037 v1 · 2010-03-04 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G3YPT3MOZGTHPTNDXOK5MXQMJK}

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	2026-05-18T03:57:50.846011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36f0f9ed8ec9a677cda3bb95d65e0c4a861ee90564c8fff708d63838bac72558

Aliases

arxiv: 1003.1037 · arxiv_version: 1003.1037v1 · doi: 10.48550/arxiv.1003.1037 · pith_short_12: G3YPT3MOZGTH · pith_short_16: G3YPT3MOZGTHPTND · pith_short_8: G3YPT3MO

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/G3YPT3MOZGTHPTNDXOK5MXQMJK \
  | 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: 36f0f9ed8ec9a677cda3bb95d65e0c4a861ee90564c8fff708d63838bac72558

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53076bf32e5b68ca6c9281f6c0dda2831597ea7868ee6f583a96ea76d9190402",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-03-04T13:15:20Z",
    "title_canon_sha256": "68e67d36f650e2ce417867e31772093d8369b98a88a0e162d30915e9ad154f2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.1037",
    "kind": "arxiv",
    "version": 1
  }
}