Pith Number

pith:AAT2UXZB

pith:2010:AAT2UXZBFAKYRCQY4YCYQPJKA6

not attested not anchored not stored refs pending

When is the self-intersection of a subvariety a fibration?

Andrei Caldararu, Dima Arinkin

arxiv:1007.1671 v2 · 2010-07-09 · math.AG · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AAT2UXZBFAKYRCQY4YCYQPJKA6}

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	2026-05-18T04:29:53.598285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0027aa5f212815888a18e605883d2a0797e8e3f9d09e45c5d5e29399e3a48115

Aliases

arxiv: 1007.1671 · arxiv_version: 1007.1671v2 · doi: 10.48550/arxiv.1007.1671 · pith_short_12: AAT2UXZBFAKY · pith_short_16: AAT2UXZBFAKYRCQY · pith_short_8: AAT2UXZB

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/AAT2UXZBFAKYRCQY4YCYQPJKA6 \
  | 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: 0027aa5f212815888a18e605883d2a0797e8e3f9d09e45c5d5e29399e3a48115

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ed5eb4f594da05ec1887e6958b343f92bf713bcddb3b679b44bf6b6083f9ad9",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-07-09T20:30:25Z",
    "title_canon_sha256": "5d73dc52dd95db8e85ab019eedd476ab6436262600b075a38943db1b860a6eec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.1671",
    "kind": "arxiv",
    "version": 2
  }
}