Pith Number

pith:U3XEUT7D

pith:2021:U3XEUT7DGZC6RYF2GXG7BQAT7Y

not attested not anchored not stored refs pending

Critical Coupling for Two-dimensional $\phi^4$ Theory in Discretized Light-Cone Quantization

Avaroth Harindranath, Dipankar Chakrabarti, James P. Vary, Mamoon Sharaf, Mengyao Huang, Shreeram Jawadekar

arxiv:2109.13372 v2 · 2021-09-27 · hep-th · nucl-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{U3XEUT7DGZC6RYF2GXG7BQAT7Y}

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	2026-07-05T03:53:49.434630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6ee4a4fe33645e8e0ba35cdf0c013fe29cdc863111fb849d71fefbd7015a8c8

Aliases

arxiv: 2109.13372 · arxiv_version: 2109.13372v2 · doi: 10.48550/arxiv.2109.13372 · pith_short_12: U3XEUT7DGZC6 · pith_short_16: U3XEUT7DGZC6RYF2 · pith_short_8: U3XEUT7D

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/U3XEUT7DGZC6RYF2GXG7BQAT7Y \
  | 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: a6ee4a4fe33645e8e0ba35cdf0c013fe29cdc863111fb849d71fefbd7015a8c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05b27001af0cbc8eeb09a72ac6961eb4a38a2555e6c66d465097cd42adf93621",
    "cross_cats_sorted": [
      "nucl-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-09-27T22:29:11Z",
    "title_canon_sha256": "128d5d074582401f21e32aab154b244814cf752d486937e82135b9886dbab3aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.13372",
    "kind": "arxiv",
    "version": 2
  }
}