Pith Number

pith:OPP24FAR

pith:2016:OPP24FAR5PNE6U3KCXEHJFUZDQ

not attested not anchored not stored refs pending

Rationally connected varieties - on a conjecture of Mumford

Thomas Peternell, Vladimir Lazi\'c

arxiv:1608.04706 v1 · 2016-08-16 · 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{OPP24FAR5PNE6U3KCXEHJFUZDQ}

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	2026-05-18T00:45:02.651860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73dfae1411ebda4f536a15c87496991c080c5cdf0af47597eb03edd324f7ef29

Aliases

arxiv: 1608.04706 · arxiv_version: 1608.04706v1 · doi: 10.48550/arxiv.1608.04706 · pith_short_12: OPP24FAR5PNE · pith_short_16: OPP24FAR5PNE6U3K · pith_short_8: OPP24FAR

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/OPP24FAR5PNE6U3KCXEHJFUZDQ \
  | 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: 73dfae1411ebda4f536a15c87496991c080c5cdf0af47597eb03edd324f7ef29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75eb9642ccb8ffdd84d34420e7cca97b47e320eb75dff04b9d6743740a6d3544",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-08-16T18:56:31Z",
    "title_canon_sha256": "66b257a61048b895eeb66e8f9d1fd2ef6e60e50ace95b10eee29619409e00662"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04706",
    "kind": "arxiv",
    "version": 1
  }
}