Pith Number

pith:MHXVQO2V

pith:2001:MHXVQO2VSNN5GB275NIMMTYKPH

not attested not anchored not stored refs pending

Reduction of a Class of Three-Loop Vacuum Diagrams to Tetrahedron Topologies

B. K. Chung, J.-M. Chung

arxiv:hep-th/0101098 v2 · 2001-01-16 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MHXVQO2VSNN5GB275NIMMTYKPH}

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	2026-05-18T02:36:12.571197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61ef583b55935bd3075feb50c64f0a79ca8acd7a1d7e51813c597d60401ff964

Aliases

arxiv: hep-th/0101098 · arxiv_version: hep-th/0101098v2 · doi: 10.48550/arxiv.hep-th/0101098 · pith_short_12: MHXVQO2VSNN5 · pith_short_16: MHXVQO2VSNN5GB27 · pith_short_8: MHXVQO2V

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/MHXVQO2VSNN5GB275NIMMTYKPH \
  | 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: 61ef583b55935bd3075feb50c64f0a79ca8acd7a1d7e51813c597d60401ff964

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aed136756aa61db6251f0c68e669054dde519eec7bbbefde94da68fcd12bca1f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2001-01-16T05:31:49Z",
    "title_canon_sha256": "d7be4188c5df996ea0f7111e3e79a402f79f08db03253044ed061ef07c71d513"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0101098",
    "kind": "arxiv",
    "version": 2
  }
}