Pith Number

pith:4HHBQM5U

pith:2015:4HHBQM5UFTTYHEZGFPFYO4DDEC

not attested not anchored not stored refs pending

Martens-Mumford's Theorems for Brill-Noether Schemes arising from Very Ample Line Bundles

Ali Bajravani

arxiv:1505.00410 v1 · 2015-05-03 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4HHBQM5UFTTYHEZGFPFYO4DDEC}

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	2026-05-17T23:47:06.200541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1ce1833b42ce78393262bcb87706320b22929406002676d4cc29a9631709f28

Aliases

arxiv: 1505.00410 · arxiv_version: 1505.00410v1 · doi: 10.48550/arxiv.1505.00410 · pith_short_12: 4HHBQM5UFTTY · pith_short_16: 4HHBQM5UFTTYHEZG · pith_short_8: 4HHBQM5U

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/4HHBQM5UFTTYHEZGFPFYO4DDEC \
  | 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: e1ce1833b42ce78393262bcb87706320b22929406002676d4cc29a9631709f28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48ad67010da205b5f8aa69d457669264156b8affaa42aa3a3534794de7f9c9f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-05-03T09:34:17Z",
    "title_canon_sha256": "6423cb3e81722c37a2a84a77fa9e36b88b7c94e6d9d16656f4a1272d1a77a7cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.00410",
    "kind": "arxiv",
    "version": 1
  }
}