Pith Number

pith:WR37AYWN

pith:2015:WR37AYWNEJS2TC7NXNG3AEA75O

not attested not anchored not stored refs pending

Higher Toda brackets and Massey products

David Blanc, Hans-Joachim Baues, Shilpa Gondhali

arxiv:1503.02265 v1 · 2015-03-08 · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WR37AYWNEJS2TC7NXNG3AEA75O}

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	2026-05-18T02:25:25.455430Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b477f062cd2265a98bedbb4db0101febb96957f99d62f847ae0562c372305397

Aliases

arxiv: 1503.02265 · arxiv_version: 1503.02265v1 · doi: 10.48550/arxiv.1503.02265 · pith_short_12: WR37AYWNEJS2 · pith_short_16: WR37AYWNEJS2TC7N · pith_short_8: WR37AYWN

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/WR37AYWNEJS2TC7NXNG3AEA75O \
  | 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: b477f062cd2265a98bedbb4db0101febb96957f99d62f847ae0562c372305397

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "791e2b3210befba6508aaad388b3f519bda37590552293ba8d7fc9ae1ed9846d",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-03-08T10:44:20Z",
    "title_canon_sha256": "09dd56b988927cde4de3a5051ab5260f9ca59410c0d9550cc2fca9cdabe198b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02265",
    "kind": "arxiv",
    "version": 1
  }
}