Pith Number

pith:FX3FNYBW

pith:2014:FX3FNYBWTRM2LZSYX373DSAMLC

not attested not anchored not stored refs pending

Function spaces for liquid crystals

S. J. Bedford

arxiv:1411.5297 v2 · 2014-11-19 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FX3FNYBWTRM2LZSYX373DSAMLC}

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	2026-05-18T01:31:46.200709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2df656e0369c59a5e658beffb1c80c589dbd30ae7bebf598decdabc3743f1856

Aliases

arxiv: 1411.5297 · arxiv_version: 1411.5297v2 · doi: 10.48550/arxiv.1411.5297 · pith_short_12: FX3FNYBWTRM2 · pith_short_16: FX3FNYBWTRM2LZSY · pith_short_8: FX3FNYBW

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/FX3FNYBWTRM2LZSYX373DSAMLC \
  | 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: 2df656e0369c59a5e658beffb1c80c589dbd30ae7bebf598decdabc3743f1856

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81ce8ed397ca7d1411d028d15ed701a615debc6a586919a4b957d5e3de26359a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-11-19T17:52:20Z",
    "title_canon_sha256": "36c9513b4b24ab27b9897e5e437efe8a34362b1239c8d22da4725064744ec85a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.5297",
    "kind": "arxiv",
    "version": 2
  }
}