Pith Number

pith:PR2JPCFK

pith:2014:PR2JPCFKQKWCDJO2JHW2UTIMB7

not attested not anchored not stored refs pending

Vector bundles and Arakelov geometry on the projective line over the integers

Fabian Reede

arxiv:1408.2648 v1 · 2014-08-12 · 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{PR2JPCFKQKWCDJO2JHW2UTIMB7}

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	2026-05-18T02:45:22.586107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c749788aa82ac21a5da49edaa4d0c0ffee36b68e803037623d732ca0761d712

Aliases

arxiv: 1408.2648 · arxiv_version: 1408.2648v1 · doi: 10.48550/arxiv.1408.2648 · pith_short_12: PR2JPCFKQKWC · pith_short_16: PR2JPCFKQKWCDJO2 · pith_short_8: PR2JPCFK

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/PR2JPCFKQKWCDJO2JHW2UTIMB7 \
  | 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: 7c749788aa82ac21a5da49edaa4d0c0ffee36b68e803037623d732ca0761d712

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46a300b998b7d407b72caf429b0bfcc9f1bab09939c4322b7f1915d2e7bc54b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-08-12T08:06:15Z",
    "title_canon_sha256": "6d96e3a45a923656c4d6a74f25eb92632c6a12e773d4dcde6e882bb2df289818"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.2648",
    "kind": "arxiv",
    "version": 1
  }
}