Pith Number

pith:7IDBF6KO

pith:2012:7IDBF6KO3H2JYQ3PLAJDUIYJLM

not attested not anchored not stored refs pending

Liouville's Imaginary Shadow

Paulina Suchanek, Volker Schomerus

arxiv:1210.1856 v1 · 2012-10-05 · 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{7IDBF6KO3H2JYQ3PLAJDUIYJLM}

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	2026-05-18T03:22:17.343913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa0612f94ed9f49c436f58123a23095b38d63d132e169b344c67cb97f39d6808

Aliases

arxiv: 1210.1856 · arxiv_version: 1210.1856v1 · doi: 10.48550/arxiv.1210.1856 · pith_short_12: 7IDBF6KO3H2J · pith_short_16: 7IDBF6KO3H2JYQ3P · pith_short_8: 7IDBF6KO

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/7IDBF6KO3H2JYQ3PLAJDUIYJLM \
  | 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: fa0612f94ed9f49c436f58123a23095b38d63d132e169b344c67cb97f39d6808

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9762595e989aa73f859ef3c7a5dd29ddb276edf1cc49512646523a146bbaaf7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-10-05T20:03:37Z",
    "title_canon_sha256": "5f0462253caec2ace4aebc516735b04589c7bc853ea679fed84f913726c77422"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1856",
    "kind": "arxiv",
    "version": 1
  }
}