Pith Number

pith:ILZNFQNW

pith:2011:ILZNFQNWD7KHVFV6ZHRV4RF526

not attested not anchored not stored refs pending

All-order uniform momentum bounds for the massless phi^4 theory in four dimensional Euclidean space

Christoph Kopper, Riccardo Guida

arxiv:1103.5692 v2 · 2011-03-29 · math-ph · hep-th · 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{ILZNFQNWD7KHVFV6ZHRV4RF526}

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	2026-05-18T04:24:43.468209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42f2d2c1b61fd47a96bec9e35e44bdd7a6c0d900b8b4057b9342fc3c1cd148e8

Aliases

arxiv: 1103.5692 · arxiv_version: 1103.5692v2 · doi: 10.48550/arxiv.1103.5692 · pith_short_12: ILZNFQNWD7KH · pith_short_16: ILZNFQNWD7KHVFV6 · pith_short_8: ILZNFQNW

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/ILZNFQNWD7KHVFV6ZHRV4RF526 \
  | 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: 42f2d2c1b61fd47a96bec9e35e44bdd7a6c0d900b8b4057b9342fc3c1cd148e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21a325ee0e5bafc56e8b57df633541a098620b4afaf35f986bc521868225bf17",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-03-29T15:58:35Z",
    "title_canon_sha256": "66f497ad2471e5eb74e7a83a20e59bedbda19f1a27fdf11c5089be3e44a81d67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5692",
    "kind": "arxiv",
    "version": 2
  }
}