Pith Number

pith:EFGUGOM2

pith:2015:EFGUGOM2EXQ2M53K57DKXN3GJJ

not attested not anchored not stored refs pending

Debye mass of massless \phi^4-theory to order g^6 at weak coupling

Rashid Khan

arxiv:1511.02636 v2 · 2015-11-09 · hep-ph · 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{EFGUGOM2EXQ2M53K57DKXN3GJJ}

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	2026-05-18T01:04:04.154202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

214d43399a25e1a6776aefc6abb7664a52e7fb6cd62bbcb8aebc553db2ae543c

Aliases

arxiv: 1511.02636 · arxiv_version: 1511.02636v2 · doi: 10.48550/arxiv.1511.02636 · pith_short_12: EFGUGOM2EXQ2 · pith_short_16: EFGUGOM2EXQ2M53K · pith_short_8: EFGUGOM2

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/EFGUGOM2EXQ2M53K57DKXN3GJJ \
  | 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: 214d43399a25e1a6776aefc6abb7664a52e7fb6cd62bbcb8aebc553db2ae543c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f1e08b88280262131c9901271bdddd422f35eeab0eab4b9485eedbd0a5069ef",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2015-11-09T11:07:34Z",
    "title_canon_sha256": "178623f6e75856d9da577cf7cfc45d251def1f11c136441097ddd0f7fbbb1242"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02636",
    "kind": "arxiv",
    "version": 2
  }
}