Pith Number

pith:TNEGMCU5

pith:2014:TNEGMCU5FC4QP4BOPJBBTS5L4L

not attested not anchored not stored refs pending

Mutual information on the fuzzy sphere

Philippe Sabella-Garnier

arxiv:1409.7069 v2 · 2014-09-24 · 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{TNEGMCU5FC4QP4BOPJBBTS5L4L}

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	2026-05-18T01:41:57.102972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b48660a9d28b907f02e7a4219cbabe2c3576005970b527e54c25e19e24d4b52

Aliases

arxiv: 1409.7069 · arxiv_version: 1409.7069v2 · doi: 10.48550/arxiv.1409.7069 · pith_short_12: TNEGMCU5FC4Q · pith_short_16: TNEGMCU5FC4QP4BO · pith_short_8: TNEGMCU5

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/TNEGMCU5FC4QP4BOPJBBTS5L4L \
  | 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: 9b48660a9d28b907f02e7a4219cbabe2c3576005970b527e54c25e19e24d4b52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8211292110528e4d382cff8e28616794597d1df1d0baed8d02a7e48f1f63e3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2014-09-24T20:00:11Z",
    "title_canon_sha256": "1cb3d1fec19a270329ebc303a377c4eaa2c90c609b1adb97ec89a564ec017c94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7069",
    "kind": "arxiv",
    "version": 2
  }
}