Pith Number

pith:X6H5SLMA

pith:2005:X6H5SLMAG4WHYR7RLIJV5JBFHW

not attested not anchored not stored refs pending

The Entropic Principle and Asymptotic Freedom

Cumrun Vafa, Kirill Saraikin, Sergei Gukov

arxiv:hep-th/0509109 v2 · 2005-09-15 · 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{X6H5SLMAG4WHYR7RLIJV5JBFHW}

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.

Cited by

1 paper in Pith

Optimal paths across potentials on scalar field space

Receipt and verification

First computed	2026-07-04T15:17:50.812145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf8fd92d80372c7c47f15a135ea4253d96f3f7ebf0853e941c4880eaad84f101

Aliases

arxiv: hep-th/0509109 · arxiv_version: hep-th/0509109v2 · doi: 10.48550/arxiv.hep-th/0509109 · pith_short_12: X6H5SLMAG4WH · pith_short_16: X6H5SLMAG4WHYR7R · pith_short_8: X6H5SLMA

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/X6H5SLMAG4WHYR7RLIJV5JBFHW \
  | 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: bf8fd92d80372c7c47f15a135ea4253d96f3f7ebf0853e941c4880eaad84f101

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1573e43b99728d47bbfbfb590541f9959004ef4e195bed2576ec338c67c32f7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-09-15T18:59:44Z",
    "title_canon_sha256": "3dfe3d7ef3e6fd91ca27268aa0d3d74e9096322831aa24a98c244122dddcd087"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0509109",
    "kind": "arxiv",
    "version": 2
  }
}