Pith Number

pith:4RAVQYRI

pith:2011:4RAVQYRILFTPVMRMHF7URSBYD4

not attested not anchored not stored refs pending

A note on Brill-Noether thoery and rank determining sets for metric graphs

Chang Mou Lim, Natasha Potashnik, Sam Payne

arxiv:1106.5519 v2 · 2011-06-27 · 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{4RAVQYRILFTPVMRMHF7URSBYD4}

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	2026-05-18T01:17:01.613059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4415862285966fab22c397f48c8381f36503455ae97786db164b1f29e80ec89

Aliases

arxiv: 1106.5519 · arxiv_version: 1106.5519v2 · doi: 10.48550/arxiv.1106.5519 · pith_short_12: 4RAVQYRILFTP · pith_short_16: 4RAVQYRILFTPVMRM · pith_short_8: 4RAVQYRI

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/4RAVQYRILFTPVMRMHF7URSBYD4 \
  | 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: e4415862285966fab22c397f48c8381f36503455ae97786db164b1f29e80ec89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32162fab040958877c6f936e56d12597f8235dd74276467cebd6c791ac4b68cf",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-06-27T20:34:10Z",
    "title_canon_sha256": "40af4e81fd3ff680e675b4136f6cebd9808e78cf114e54dce4bb727aedcf6f3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5519",
    "kind": "arxiv",
    "version": 2
  }
}