Pith Number

pith:BXM7DWYN

pith:2012:BXM7DWYNSNKJDGUGHICZDDHM5X

not attested not anchored not stored refs pending

Sharp slope bounds for sweeping families of trigonal curves

Anand Deopurkar, Anand Patel

arxiv:1211.2827 v1 · 2012-11-12 · 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{BXM7DWYNSNKJDGUGHICZDDHM5X}

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	2026-05-18T03:40:13.654239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dd9f1db0d9354919a863a05918cecede47d74ed1febdcf827d50d5ebc208929

Aliases

arxiv: 1211.2827 · arxiv_version: 1211.2827v1 · doi: 10.48550/arxiv.1211.2827 · pith_short_12: BXM7DWYNSNKJ · pith_short_16: BXM7DWYNSNKJDGUG · pith_short_8: BXM7DWYN

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/BXM7DWYNSNKJDGUGHICZDDHM5X \
  | 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: 0dd9f1db0d9354919a863a05918cecede47d74ed1febdcf827d50d5ebc208929

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "852c41bc71b252c8e91bde5bfca3e9b7ad02446aa5a8d659b7034f89e110ceed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-11-12T21:10:03Z",
    "title_canon_sha256": "109efbc39cf960e1498a8ff0ee4b4061faa3b3293e4d06e160bde8e5ada91b51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2827",
    "kind": "arxiv",
    "version": 1
  }
}