Pith Number

pith:WRBKYRVJ

pith:1999:WRBKYRVJTD34FFGF4WOIBTLEEK

not attested not anchored not stored refs pending

Massey products in symplectic manifolds

I. A. Taimanov, I. K. Babenko

arxiv:math/9911132 v1 · 1999-11-17 · math.SG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WRBKYRVJTD34FFGF4WOIBTLEEK}

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	2026-05-18T01:38:22.306855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b442ac46a998f7c294c5e59c80cd64228a47d43a6d6e9940b40a4a182fa92cdf

Aliases

arxiv: math/9911132 · arxiv_version: math/9911132v1 · doi: 10.48550/arxiv.math/9911132 · pith_short_12: WRBKYRVJTD34 · pith_short_16: WRBKYRVJTD34FFGF · pith_short_8: WRBKYRVJ

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/WRBKYRVJTD34FFGF4WOIBTLEEK \
  | 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: b442ac46a998f7c294c5e59c80cd64228a47d43a6d6e9940b40a4a182fa92cdf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "732d95902d405ac1240256dc3ae36f3424a97de2cd3e17c53561e3ff730fba59",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.SG",
    "submitted_at": "1999-11-17T19:06:38Z",
    "title_canon_sha256": "10e4c97d775fa2b3f4d6329172287672015f2bbc016c73cc2074397cddf3478d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9911132",
    "kind": "arxiv",
    "version": 1
  }
}