Pith Number

pith:FPV2GEHA

pith:2016:FPV2GEHAWMXGXDVRQAACO32GLG

not attested not anchored not stored refs pending

Points of bounded height on oscillatory sets

Chris Miller, Georges Comte

arxiv:1601.03033 v3 · 2016-01-12 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FPV2GEHAWMXGXDVRQAACO32GLG}

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	2026-05-18T00:46:21.141106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2beba310e0b32e6b8eb18000276f4659b86b2eab886be69c3c5e5bd2c36bd4eb

Aliases

arxiv: 1601.03033 · arxiv_version: 1601.03033v3 · doi: 10.48550/arxiv.1601.03033 · pith_short_12: FPV2GEHAWMXG · pith_short_16: FPV2GEHAWMXGXDVR · pith_short_8: FPV2GEHA

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/FPV2GEHAWMXGXDVRQAACO32GLG \
  | 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: 2beba310e0b32e6b8eb18000276f4659b86b2eab886be69c3c5e5bd2c36bd4eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0179b11d412507688a7d61f04947b2fda74ba8519e126436e1720b55460ece5",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-01-12T20:54:16Z",
    "title_canon_sha256": "d695206b2e0d30eea5b5b5a8dbfe48bae65bb8efbc8502af5385848cecbfe664"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03033",
    "kind": "arxiv",
    "version": 3
  }
}