Pith Number

pith:TD5HXBCP

pith:2016:TD5HXBCPYVJQUAWW42JN2KQL7G

not attested not anchored not stored refs pending

A note on Brill--Noether existence for graphs of low genus

Dhruv Ranganathan, Stanislav Atanasov

arxiv:1609.02091 v2 · 2016-09-07 · 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{TD5HXBCPYVJQUAWW42JN2KQL7G}

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	2026-05-17T23:59:03.895074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98fa7b844fc5530a02d6e692dd2a0bf99f288545ca47514996d556f74bf14796

Aliases

arxiv: 1609.02091 · arxiv_version: 1609.02091v2 · doi: 10.48550/arxiv.1609.02091 · pith_short_12: TD5HXBCPYVJQ · pith_short_16: TD5HXBCPYVJQUAWW · pith_short_8: TD5HXBCP

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/TD5HXBCPYVJQUAWW42JN2KQL7G \
  | 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: 98fa7b844fc5530a02d6e692dd2a0bf99f288545ca47514996d556f74bf14796

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77c4097af8f8ab30e42dd3bc5d6231fb12577a69ba493761af343753c76c1da5",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-09-07T17:50:11Z",
    "title_canon_sha256": "30aabe5157ca510e2c97e4f89ed06f81a242369b275aee1a2935f33ecd66f9fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02091",
    "kind": "arxiv",
    "version": 2
  }
}