Pith Number

pith:HA5G3HMX

pith:2019:HA5G3HMXJCXB72QCE7RS4GKE7Y

not attested not anchored not stored refs pending

Fiberwise bimeromorphic maps of conic bundles

Constantin Shramov

arxiv:1908.00750 v2 · 2019-08-02 · 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{HA5G3HMXJCXB72QCE7RS4GKE7Y}

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	2026-07-05T00:07:24.344426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

383a6d9d9748ae1fea0227e32e1944fe0fc3feb43767116ec763acf8797c0a31

Aliases

arxiv: 1908.00750 · arxiv_version: 1908.00750v2 · doi: 10.48550/arxiv.1908.00750 · pith_short_12: HA5G3HMXJCXB · pith_short_16: HA5G3HMXJCXB72QC · pith_short_8: HA5G3HMX

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/HA5G3HMXJCXB72QCE7RS4GKE7Y \
  | 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: 383a6d9d9748ae1fea0227e32e1944fe0fc3feb43767116ec763acf8797c0a31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62fb1ff4ead3e3dca765997692c227123785746742d7ad6c90c05d06185dacd7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-08-02T08:26:24Z",
    "title_canon_sha256": "110e9e64e7b531ca06a71e1dbc98a9b1951fde1ea3c03d991d60d4ca7480b777"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.00750",
    "kind": "arxiv",
    "version": 2
  }
}