Pith Number

pith:C5PQFQJ6

pith:2015:C5PQFQJ6V4HXANQX7O3Q256DSS

not attested not anchored not stored refs pending

Theta characteristics of tropical $K_4$-curves

Melody Chan, Pakawut Jiradilok

arxiv:1503.05776 v2 · 2015-03-19 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C5PQFQJ6V4HXANQX7O3Q256DSS}

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	2026-05-18T00:52:02.367752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

175f02c13eaf0f703617fbb70d77c3948f1fa0bf71691e694e65f6cd001331ec

Aliases

arxiv: 1503.05776 · arxiv_version: 1503.05776v2 · doi: 10.48550/arxiv.1503.05776 · pith_short_12: C5PQFQJ6V4HX · pith_short_16: C5PQFQJ6V4HXANQX · pith_short_8: C5PQFQJ6

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/C5PQFQJ6V4HXANQX7O3Q256DSS \
  | 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: 175f02c13eaf0f703617fbb70d77c3948f1fa0bf71691e694e65f6cd001331ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44847134983468dbd8991139c602662aa0b5d837621af2d68698445c25bc0db6",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-03-19T14:20:47Z",
    "title_canon_sha256": "9f43848d2ba6c27835c3f61c823aa22adf068307a365aa26dac485fc22e9f02f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05776",
    "kind": "arxiv",
    "version": 2
  }
}