Pith Number

pith:Z5VBSS52

pith:2019:Z5VBSS52QN22LLMBCKCWSNHM2O

not attested not anchored not stored refs pending

Reminiscences by a student of Langlands

Thomas Hales

arxiv:1906.11358 v1 · 2019-06-26 · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z5VBSS52QN22LLMBCKCWSNHM2O}

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	2026-05-17T23:42:07.387233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf6a194bba8375a5ad8112856934ecd3a4a04b437e98c4474ee62690a83d537c

Aliases

arxiv: 1906.11358 · arxiv_version: 1906.11358v1 · doi: 10.48550/arxiv.1906.11358 · pith_short_12: Z5VBSS52QN22 · pith_short_16: Z5VBSS52QN22LLMB · pith_short_8: Z5VBSS52

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/Z5VBSS52QN22LLMBCKCWSNHM2O \
  | 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: cf6a194bba8375a5ad8112856934ecd3a4a04b437e98c4474ee62690a83d537c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "645ada2a988633fa4075aa9353bfef248b47c588f1b60e09df6be4137286d171",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2019-06-26T21:51:10Z",
    "title_canon_sha256": "cd43c3ca727b714fb17742920c287efebdf56e04906586438a99c9c07f0815ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.11358",
    "kind": "arxiv",
    "version": 1
  }
}