Pith Number

pith:KU2D6M2M

pith:2015:KU2D6M2MOO6BRWEKXUO2FFSV2R

not attested not anchored not stored refs pending

Optimal and maximal singular curves

Annamaria Iezzi (I2M), IMATH), Yves Aubry (I2M

arxiv:1510.01853 v1 · 2015-10-07 · 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{KU2D6M2MOO6BRWEKXUO2FFSV2R}

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	2026-05-18T01:30:50.220060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55343f334c73bc18d88abd1da29655d45da4b9fb41537fa99ee63aa78f816e57

Aliases

arxiv: 1510.01853 · arxiv_version: 1510.01853v1 · doi: 10.48550/arxiv.1510.01853 · pith_short_12: KU2D6M2MOO6B · pith_short_16: KU2D6M2MOO6BRWEK · pith_short_8: KU2D6M2M

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/KU2D6M2MOO6BRWEKXUO2FFSV2R \
  | 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: 55343f334c73bc18d88abd1da29655d45da4b9fb41537fa99ee63aa78f816e57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dde0555b4d8e57dd9759a9fb848208425ebc7f09431c5695406ed61ac03549fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-10-07T07:51:39Z",
    "title_canon_sha256": "fdebe3353eb62646195091cb285fdfc2a8367a72a266bd9d8ac2775b5e7434a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01853",
    "kind": "arxiv",
    "version": 1
  }
}