Pith Number

pith:I4PPL3E3

pith:2016:I4PPL3E3Y3I57N4MQPMDBDXLPU

not attested not anchored not stored refs pending

Constructing Reducible Brill--Noether Curves

Eric Larson

arxiv:1603.02301 v7 · 2016-03-07 · 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{I4PPL3E3Y3I57N4MQPMDBDXLPU}

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	2026-05-17T23:48:07.097901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

471ef5ec9bc6d1dfb78c83d8308eeb7d28657e119658f7eb301798adcc10d910

Aliases

arxiv: 1603.02301 · arxiv_version: 1603.02301v7 · doi: 10.48550/arxiv.1603.02301 · pith_short_12: I4PPL3E3Y3I5 · pith_short_16: I4PPL3E3Y3I57N4M · pith_short_8: I4PPL3E3

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/I4PPL3E3Y3I57N4MQPMDBDXLPU \
  | 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: 471ef5ec9bc6d1dfb78c83d8308eeb7d28657e119658f7eb301798adcc10d910

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46b3781e9bd642aa495facd81299745f5c46df018d9a20c9ac3b482695a6919d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-03-07T21:22:19Z",
    "title_canon_sha256": "e6b2111106b30a5911b260efc3929ce3466b57e492da456391349eb6a897b1b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02301",
    "kind": "arxiv",
    "version": 7
  }
}