Pith Number

pith:LXJRQCHA

pith:2015:LXJRQCHA7MWB4YZCSYGLJKLAGK

not attested not anchored not stored refs pending

Massey products in differential cohomology via stacks

Daniel Grady, Hisham Sati

arxiv:1510.06366 v3 · 2015-10-21 · math.AT · math-ph · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LXJRQCHA7MWB4YZCSYGLJKLAGK}

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	2026-05-18T00:22:06.939052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dd31808e0fb2c1e6322960cb4a96032b52577349b190884209e6377aaadd1c9

Aliases

arxiv: 1510.06366 · arxiv_version: 1510.06366v3 · doi: 10.48550/arxiv.1510.06366 · pith_short_12: LXJRQCHA7MWB · pith_short_16: LXJRQCHA7MWB4YZC · pith_short_8: LXJRQCHA

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/LXJRQCHA7MWB4YZCSYGLJKLAGK \
  | 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: 5dd31808e0fb2c1e6322960cb4a96032b52577349b190884209e6377aaadd1c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2712278bc1d827ffdf210079e3621ab61ba9e6f7e1e73ec9ebd8d9ee8e8f312",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-10-21T18:48:41Z",
    "title_canon_sha256": "0b87efd368ef6cea10e0127d5a67059d6c1a5fd07690a7594a3533579b07993b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06366",
    "kind": "arxiv",
    "version": 3
  }
}