Pith Number

pith:IGRQ4TE3

pith:2016:IGRQ4TE3A7V5DPCSN5YDCZTQHU

not attested not anchored not stored refs pending

On the geometry of random lemniscates

Antonio Lerario, Erik Lundberg

arxiv:1601.02295 v1 · 2016-01-11 · math.CV · math.AG · math.AT · math.MG · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IGRQ4TE3A7V5DPCSN5YDCZTQHU}

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	2026-05-18T00:15:59.585467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41a30e4c9b07ebd1bc526f703166703d22a311d34dc8ead17f1b55ba14e1df8c

Aliases

arxiv: 1601.02295 · arxiv_version: 1601.02295v1 · doi: 10.48550/arxiv.1601.02295 · pith_short_12: IGRQ4TE3A7V5 · pith_short_16: IGRQ4TE3A7V5DPCS · pith_short_8: IGRQ4TE3

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/IGRQ4TE3A7V5DPCSN5YDCZTQHU \
  | 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: 41a30e4c9b07ebd1bc526f703166703d22a311d34dc8ead17f1b55ba14e1df8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddaedfb7caf5861521464ed66aaf0a02eca492a36958eb3fa4abe539d25da960",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT",
      "math.MG",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-01-11T01:29:43Z",
    "title_canon_sha256": "b76d7811b8442ea6acdcfc8a21de7e9bf3bbf2d1f34d3f3bf73c3e1fb41e4a9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.02295",
    "kind": "arxiv",
    "version": 1
  }
}