Pith Number

pith:LHUBAFHP

pith:2007:LHUBAFHPSP5YZQ4IRCI4RFG6IB

not attested not anchored not stored refs pending

Specialization of linear systems from curves to graphs

Matthew Baker

arxiv:math/0701075 v4 · 2007-01-02 · math.NT · 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{LHUBAFHPSP5YZQ4IRCI4RFG6IB}

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.

Cited by

1 paper in Pith

Tropical linear systems and the realizability problem

Receipt and verification

First computed	2026-07-04T15:02:37.599125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59e81014ef93fb8cc3888891c894de4048dc4cb06741fe2cbb2f3f04ef9f64d8

Aliases

arxiv: math/0701075 · arxiv_version: math/0701075v4 · doi: 10.48550/arxiv.math/0701075 · pith_short_12: LHUBAFHPSP5Y · pith_short_16: LHUBAFHPSP5YZQ4I · pith_short_8: LHUBAFHP

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/LHUBAFHPSP5YZQ4IRCI4RFG6IB \
  | 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: 59e81014ef93fb8cc3888891c894de4048dc4cb06741fe2cbb2f3f04ef9f64d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78642495c382d7352887027f859f014058dd2c0439f5508ea9a2b94928c417e7",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2007-01-02T21:32:42Z",
    "title_canon_sha256": "a4acc184a5faeba1cdd903652a55a57456e1036e8238db7af8935db37c1b757f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701075",
    "kind": "arxiv",
    "version": 4
  }
}