Pith Number

pith:VVRFFKWO

pith:2018:VVRFFKWOZQCIMVHL4B6KE2FEGC

not attested not anchored not stored refs pending

Globally generated vector bundles with $c_1 = 5$ on $\mathbb{P}^3$

Cristian Anghel, Iustin Coanda, Nicolae Manolache

arxiv:1805.11336 v1 · 2018-05-29 · 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{VVRFFKWOZQCIMVHL4B6KE2FEGC}

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	2026-05-18T00:14:42.951864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad6252aacecc048654ebe07ca268a430be5ed25b6c8f242bfbe37bf079c89a8b

Aliases

arxiv: 1805.11336 · arxiv_version: 1805.11336v1 · doi: 10.48550/arxiv.1805.11336 · pith_short_12: VVRFFKWOZQCI · pith_short_16: VVRFFKWOZQCIMVHL · pith_short_8: VVRFFKWO

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/VVRFFKWOZQCIMVHL4B6KE2FEGC \
  | 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: ad6252aacecc048654ebe07ca268a430be5ed25b6c8f242bfbe37bf079c89a8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "159255f6e8a00391f245fb78ce22599474db8d7915d8accab43882e8ca3f011f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-05-29T10:02:03Z",
    "title_canon_sha256": "462f3f341525da775f8789f27964f1987b48fcc76646d33df0b269610a38e664"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.11336",
    "kind": "arxiv",
    "version": 1
  }
}