Pith Number

pith:MUKJ5CLK

pith:2008:MUKJ5CLKUUDG5E5CEJJQ4P3SOK

not attested not anchored not stored refs pending

Tree Quantum Field Theory

J. Magnen, R. Gurau, V. Rivasseau

arxiv:0807.4122 v1 · 2008-07-25 · hep-th · 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{MUKJ5CLKUUDG5E5CEJJQ4P3SOK}

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	2026-05-18T02:15:44.524108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65149e896aa5066e93a222530e3f727281e123c35c80cc3125794ffff8aabf1d

Aliases

arxiv: 0807.4122 · arxiv_version: 0807.4122v1 · doi: 10.48550/arxiv.0807.4122 · pith_short_12: MUKJ5CLKUUDG · pith_short_16: MUKJ5CLKUUDG5E5C · pith_short_8: MUKJ5CLK

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/MUKJ5CLKUUDG5E5CEJJQ4P3SOK \
  | 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: 65149e896aa5066e93a222530e3f727281e123c35c80cc3125794ffff8aabf1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe10b99a80c32c40b9da7278193f2d6ea0bbcac000008479bfda8dc0e646ff77",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2008-07-25T15:41:38Z",
    "title_canon_sha256": "3da3b048d5c3cde75de56c9328f2d4a4b14ed75bfefb44188c084ec81c5adc74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.4122",
    "kind": "arxiv",
    "version": 1
  }
}