Pith Number

pith:3REU64DI

pith:2025:3REU64DIY6FW6STFK6NGTHG7DW

not attested not anchored not stored refs pending

Relating Different Definitions of Linear Series on Tropical Curves

Eric Burkholder

arxiv:2506.16333 v3 · 2025-06-19 · 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{3REU64DIY6FW6STFK6NGTHG7DW}

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	2026-07-28T02:23:15.316473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc494f7068c78b6f4a65579a699cdf1dad41b05a19b5f8f5720fe0a8ffcc1545

Aliases

arxiv: 2506.16333 · arxiv_version: 2506.16333v3 · doi: 10.48550/arxiv.2506.16333 · pith_short_12: 3REU64DIY6FW · pith_short_16: 3REU64DIY6FW6STF · pith_short_8: 3REU64DI

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/3REU64DIY6FW6STFK6NGTHG7DW \
  | 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: dc494f7068c78b6f4a65579a699cdf1dad41b05a19b5f8f5720fe0a8ffcc1545

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01fdd067baea9326181b63843743aa46c289cd6ab2db49bf88bfe9bceb0a5024",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-06-19T14:08:16Z",
    "title_canon_sha256": "39a6a2738e2fa0f4e10a0bc4aca140304d76217c88e729472079c15c50706048"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.16333",
    "kind": "arxiv",
    "version": 3
  }
}