Pith Number

pith:7ZWJDPQG

pith:2019:7ZWJDPQGW3O6SLNIVWY7JAYL4G

not attested not anchored not stored refs pending

Vector Bundles on Flag varieties

Rong Du, Xinyi Fang, Yun Gao

arxiv:1905.10151 v2 · 2019-05-24 · 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{7ZWJDPQGW3O6SLNIVWY7JAYL4G}

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	2026-07-05T00:45:43.292270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe6c91be06b6dde92da8adb1f4830be1afa5e74dd96026a745356e72c4d4dec2

Aliases

arxiv: 1905.10151 · arxiv_version: 1905.10151v2 · doi: 10.48550/arxiv.1905.10151 · pith_short_12: 7ZWJDPQGW3O6 · pith_short_16: 7ZWJDPQGW3O6SLNI · pith_short_8: 7ZWJDPQG

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/7ZWJDPQGW3O6SLNIVWY7JAYL4G \
  | 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: fe6c91be06b6dde92da8adb1f4830be1afa5e74dd96026a745356e72c4d4dec2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c257beeef59a4d96e3cbed731093390466eefa9d1d7543724ae6e251a770ada4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-05-24T11:17:31Z",
    "title_canon_sha256": "3a179c30160e381f1c9c561729b4e78e6db2a3975c8c2a0445aa2bab3f7a3829"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.10151",
    "kind": "arxiv",
    "version": 2
  }
}