Pith Number

pith:TTCCZUUC

pith:2015:TTCCZUUCGO7ASSA53ISDHQXEXZ

not attested not anchored not stored refs pending

On entanglement entropy in 't Hooft model

Mikhail Goykhman

arxiv:1501.07590 v2 · 2015-01-29 · 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{TTCCZUUCGO7ASSA53ISDHQXEXZ}

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	2026-05-18T01:35:56.869606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cc42cd28233be09481dda2433c2e4be5f982b48f37b87b74fb616c479cb3d21

Aliases

arxiv: 1501.07590 · arxiv_version: 1501.07590v2 · doi: 10.48550/arxiv.1501.07590 · pith_short_12: TTCCZUUCGO7A · pith_short_16: TTCCZUUCGO7ASSA5 · pith_short_8: TTCCZUUC

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/TTCCZUUCGO7ASSA53ISDHQXEXZ \
  | 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: 9cc42cd28233be09481dda2433c2e4be5f982b48f37b87b74fb616c479cb3d21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d161597826545a55a3967a440fe5b471a8e84e1013983da5e63462b0fb6677ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-01-29T20:51:20Z",
    "title_canon_sha256": "c7ea20ac10c929eb546f85401176593e2a96161653cc3b61b0029f00a992bb12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.07590",
    "kind": "arxiv",
    "version": 2
  }
}