Pith Number

pith:UPHE3SKA

pith:2021:UPHE3SKAUGFLELJFN4UCNICLHL

not attested not anchored not stored refs pending

Recent Developments in Brill-Noether Theory

David Jensen, Sam Payne

arxiv:2111.00351 v1 · 2021-10-30 · 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{UPHE3SKAUGFLELJFN4UCNICLHL}

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	2026-07-05T03:27:41.617921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3ce4dc940a18ab22d256f2826a04b3ae3305e79ff4f97b4a3fc6027ecbdc4a3

Aliases

arxiv: 2111.00351 · arxiv_version: 2111.00351v1 · doi: 10.48550/arxiv.2111.00351 · pith_short_12: UPHE3SKAUGFL · pith_short_16: UPHE3SKAUGFLELJF · pith_short_8: UPHE3SKA

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/UPHE3SKAUGFLELJFN4UCNICLHL \
  | 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: a3ce4dc940a18ab22d256f2826a04b3ae3305e79ff4f97b4a3fc6027ecbdc4a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7aba9157f47f015bd999066506813c5432d930185577f6a4a056a0491770241d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-10-30T22:06:13Z",
    "title_canon_sha256": "efc4670cf0c396775c6cd69cb9ff80bd4ec9f2f014e17f241ed107f10072ad78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.00351",
    "kind": "arxiv",
    "version": 1
  }
}