Pith Number

pith:IWVWKWN6

pith:2011:IWVWKWN64SPVQC4DLYOAFNLD2I

not attested not anchored not stored refs pending

On Double Vector Bundles

Yunhe Sheng, Zhangju Liu, Zhuo Chen

arxiv:1103.0866 v1 · 2011-03-04 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IWVWKWN64SPVQC4DLYOAFNLD2I}

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	2026-05-18T02:17:12.806750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45ab6559bee49f580b835e1c02b563d2082eacad3315f73354d9b2fd8c1768b8

Aliases

arxiv: 1103.0866 · arxiv_version: 1103.0866v1 · doi: 10.48550/arxiv.1103.0866 · pith_short_12: IWVWKWN64SPV · pith_short_16: IWVWKWN64SPVQC4D · pith_short_8: IWVWKWN6

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/IWVWKWN64SPVQC4DLYOAFNLD2I \
  | 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: 45ab6559bee49f580b835e1c02b563d2082eacad3315f73354d9b2fd8c1768b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdd16406b45f1c1df73cd047fc4ec3916b5aa64f80e42ac7956b8a9fe90ff66d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-03-04T11:22:34Z",
    "title_canon_sha256": "65158084cbf58dd58fb21c820ff470a5061bbb33e69733e97707663e8dfad80f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0866",
    "kind": "arxiv",
    "version": 1
  }
}