Pith Number

pith:2ZIN2MQP

pith:2016:2ZIN2MQPU7MMRH4QHC6C6XP2AR

not attested not anchored not stored refs pending

Morphisms and faces of pseudo-effective cones

Brian Lehmann, Mihai Fulger

arxiv:1601.03314 v1 · 2016-01-13 · 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{2ZIN2MQPU7MMRH4QHC6C6XP2AR}

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	2026-05-18T00:44:25.022508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d650dd320fa7d8c89f9038bc2f5dfa044bcf7f1fcb8ada7c3ede7caef12b5d56

Aliases

arxiv: 1601.03314 · arxiv_version: 1601.03314v1 · doi: 10.48550/arxiv.1601.03314 · pith_short_12: 2ZIN2MQPU7MM · pith_short_16: 2ZIN2MQPU7MMRH4Q · pith_short_8: 2ZIN2MQP

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/2ZIN2MQPU7MMRH4QHC6C6XP2AR \
  | 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: d650dd320fa7d8c89f9038bc2f5dfa044bcf7f1fcb8ada7c3ede7caef12b5d56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e6934f62b63ca6f4d483da0603fda0c549e9322f38b6000a74421f412e98039",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-01-13T16:58:15Z",
    "title_canon_sha256": "c88fe7590b6b652cff332b30948765bd1f4e8facc45d87907085fcdfead9d5d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03314",
    "kind": "arxiv",
    "version": 1
  }
}