Pith Number

pith:TC36PR6A

pith:2017:TC36PR6AHEAVQWBWKDBR52J6XO

not attested not anchored not stored refs pending

Birational geometry of algebraic varieties

Caucher Birkar

arxiv:1801.00013 v1 · 2017-12-29 · 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{TC36PR6AHEAVQWBWKDBR52J6XO}

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	2026-05-18T00:26:59.777661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98b7e7c7c0390158583650c31ee93ebba647d2b6e1080a3581bba4f06ddbc3c9

Aliases

arxiv: 1801.00013 · arxiv_version: 1801.00013v1 · doi: 10.48550/arxiv.1801.00013 · pith_short_12: TC36PR6AHEAV · pith_short_16: TC36PR6AHEAVQWBW · pith_short_8: TC36PR6A

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/TC36PR6AHEAVQWBWKDBR52J6XO \
  | 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: 98b7e7c7c0390158583650c31ee93ebba647d2b6e1080a3581bba4f06ddbc3c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9285a725ca4eabf2af583ed6c1a106924d8b8835a857bf064fcca04de6c9618b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-12-29T19:01:09Z",
    "title_canon_sha256": "89552dffd08ba93c7ae92cc9ccb519937ab552b817b56f988dd282002785db16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.00013",
    "kind": "arxiv",
    "version": 1
  }
}