Pith Number

pith:LSY66ZRL

pith:2011:LSY66ZRLJP3FGZYS6TJMKNAMTF

not attested not anchored not stored refs pending

Echelon modification of vector bundles

Ziv Ran

arxiv:1107.1262 v2 · 2011-07-06 · 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{LSY66ZRLJP3FGZYS6TJMKNAMTF}

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	2026-05-18T03:09:23.206485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cb1ef662b4bf6536712f4d2c5340c9969657478ea801ec3064a0251dccf8644

Aliases

arxiv: 1107.1262 · arxiv_version: 1107.1262v2 · doi: 10.48550/arxiv.1107.1262 · pith_short_12: LSY66ZRLJP3F · pith_short_16: LSY66ZRLJP3FGZYS · pith_short_8: LSY66ZRL

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/LSY66ZRLJP3FGZYS6TJMKNAMTF \
  | 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: 5cb1ef662b4bf6536712f4d2c5340c9969657478ea801ec3064a0251dccf8644

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6a4b87b4fa3ab66e3ee43f5f89dc7a39b7bfb867d897a118a65063b8f10b619",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-07-06T21:26:13Z",
    "title_canon_sha256": "bb55a6aa50956cf212567a46ecfa48a3363006cc4a63f161f082db04374b338f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1262",
    "kind": "arxiv",
    "version": 2
  }
}