Pith Number

pith:ZBNWCDLK

pith:2016:ZBNWCDLKDEQXBUJQSXLD3DMC73

not attested not anchored not stored refs pending

Li(e)nearity

Fernando Haas, Rapha\"el Leone

arxiv:1612.04435 v1 · 2016-12-14 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZBNWCDLKDEQXBUJQSXLD3DMC73}

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	2026-05-18T00:43:01.451037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c85b610d6a192170d13095d63d8d82fed315e4248acb6652cbf5d2c17702fb7b

Aliases

arxiv: 1612.04435 · arxiv_version: 1612.04435v1 · doi: 10.48550/arxiv.1612.04435 · pith_short_12: ZBNWCDLKDEQX · pith_short_16: ZBNWCDLKDEQXBUJQ · pith_short_8: ZBNWCDLK

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/ZBNWCDLKDEQXBUJQSXLD3DMC73 \
  | 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: c85b610d6a192170d13095d63d8d82fed315e4248acb6652cbf5d2c17702fb7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd0c8b23510f5d3f0d869ddf3e15d63d050f42130dca6e1973ba9381ccdb7c50",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-12-14T00:02:26Z",
    "title_canon_sha256": "c10dd03b40a950066e13978abce0d7e2a8349708661db7d0c7e9ad7ccfb94c16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04435",
    "kind": "arxiv",
    "version": 1
  }
}