Pith Number

pith:URXK5BSA

pith:2019:URXK5BSAQQCXYRQZUDVYLTKODY

not attested not anchored not stored refs pending

Ramification divisors of general projections

Anand Deopurkar, Anand Patel, Eduard Duryev

arxiv:1901.01513 v1 · 2019-01-06 · 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{URXK5BSAQQCXYRQZUDVYLTKODY}

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	2026-05-17T23:56:51.828902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a46eae864084057c4619a0eb85cd4e1e0fed060a6188382f902662bbe63af9cb

Aliases

arxiv: 1901.01513 · arxiv_version: 1901.01513v1 · doi: 10.48550/arxiv.1901.01513 · pith_short_12: URXK5BSAQQCX · pith_short_16: URXK5BSAQQCXYRQZ · pith_short_8: URXK5BSA

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/URXK5BSAQQCXYRQZUDVYLTKODY \
  | 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: a46eae864084057c4619a0eb85cd4e1e0fed060a6188382f902662bbe63af9cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "437d3854050824aebfdab58b98802a1f1314ba31b2ce73ab1c8134ea733deca8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-01-06T07:49:12Z",
    "title_canon_sha256": "bee723b52436d991cecf1ee2c48a5d5472cf3aa1be84692004ce53bb8214622a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.01513",
    "kind": "arxiv",
    "version": 1
  }
}