Pith Number

pith:63B56VOT

pith:2011:63B56VOTL7I3UEU3O3M5KMTEMO

not attested not anchored not stored refs pending

Inflection Points of Real and Tropical Plane Curves

Erwan Brugall\'e, Luc\'ia L\'opez de Medrano

arxiv:1102.2478 v4 · 2011-02-12 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{63B56VOTL7I3UEU3O3M5KMTEMO}

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	2026-05-18T04:00:49.565247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6c3df55d35fd1ba129b76d9d5326463912a38c133022bef0cfdc4372997e56b

Aliases

arxiv: 1102.2478 · arxiv_version: 1102.2478v4 · doi: 10.48550/arxiv.1102.2478 · pith_short_12: 63B56VOTL7I3 · pith_short_16: 63B56VOTL7I3UEU3 · pith_short_8: 63B56VOT

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/63B56VOTL7I3UEU3O3M5KMTEMO \
  | 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: f6c3df55d35fd1ba129b76d9d5326463912a38c133022bef0cfdc4372997e56b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe01e79b6a4051107792612ee71d44b71edb8f8d2c40072edd8ff2ceb4768f07",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-02-12T04:06:15Z",
    "title_canon_sha256": "cf687af60c33fb8f129e301531026affa174bb0c3eddb792d45426214824c348"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2478",
    "kind": "arxiv",
    "version": 4
  }
}