Pith Number

pith:ZYX6DGKX

pith:2017:ZYX6DGKXZMZCUAUC6ZGQ7MMAQ4

not attested not anchored not stored refs pending

Around Brody lemma

Julien Duval

arxiv:1703.01850 v1 · 2017-03-06 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZYX6DGKXZMZCUAUC6ZGQ7MMAQ4}

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	2026-05-18T00:49:29.516538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce2fe19957cb322a0282f64d0fb180871737e67ea6a20fc418c3280597f358d0

Aliases

arxiv: 1703.01850 · arxiv_version: 1703.01850v1 · doi: 10.48550/arxiv.1703.01850 · pith_short_12: ZYX6DGKXZMZC · pith_short_16: ZYX6DGKXZMZCUAUC · pith_short_8: ZYX6DGKX

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/ZYX6DGKXZMZCUAUC6ZGQ7MMAQ4 \
  | 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: ce2fe19957cb322a0282f64d0fb180871737e67ea6a20fc418c3280597f358d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5091104f3405fc4cdf5b17920ccffbdeb56f3088ca47e8de9fac3483a4dbc86f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-03-06T13:00:02Z",
    "title_canon_sha256": "5836eaa98e9a8711d860ea8409529c239640e9ab59cf1d15fd055327d90470de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.01850",
    "kind": "arxiv",
    "version": 1
  }
}