Pith Number

pith:U3K6LTTG

pith:2010:U3K6LTTGV43AORT2KOW7WB6QZY

not attested not anchored not stored refs pending

Crunches, Hats, and a Conjecture

Daniel Harlow, Leonard Susskind

arxiv:1012.5302 v1 · 2010-12-23 · 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{U3K6LTTGV43AORT2KOW7WB6QZY}

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

Rigorous results for timelike Liouville field theory

Receipt and verification

First computed	2026-05-18T04:32:35.137426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6d5e5ce66af3607467a53adfb07d0ce296278eee0c2f100e94bb1684c5f6207

Aliases

arxiv: 1012.5302 · arxiv_version: 1012.5302v1 · doi: 10.48550/arxiv.1012.5302 · pith_short_12: U3K6LTTGV43A · pith_short_16: U3K6LTTGV43AORT2 · pith_short_8: U3K6LTTG

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/U3K6LTTGV43AORT2KOW7WB6QZY \
  | 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: a6d5e5ce66af3607467a53adfb07d0ce296278eee0c2f100e94bb1684c5f6207

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78743fc95a31533833b5b5431db556688d05071f7ecdc8a3500a624ed0465868",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-12-23T21:00:09Z",
    "title_canon_sha256": "f38064d473b667a039dfb6534847adb9296cb2721b259f98195d721732b1ccf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5302",
    "kind": "arxiv",
    "version": 1
  }
}