Pith Number

pith:ABC4M3BA

pith:2006:ABC4M3BAX3B5LAN7GPUY7D2LGN

not attested not anchored not stored refs pending

Universal homotopy associative, homotopy commutative H-spaces and the EHP spectral sequence

Jelena Grbic

arxiv:math/0601355 v1 · 2006-01-14 · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ABC4M3BAX3B5LAN7GPUY7D2LGN}

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	2026-07-04T17:02:08.146626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0045c66c20bec3d581bf33e98f8f4b336ec267b661dbc6398eca05009f9f5234

Aliases

arxiv: math/0601355 · arxiv_version: math/0601355v1 · doi: 10.48550/arxiv.math/0601355 · pith_short_12: ABC4M3BAX3B5 · pith_short_16: ABC4M3BAX3B5LAN7 · pith_short_8: ABC4M3BA

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/ABC4M3BAX3B5LAN7GPUY7D2LGN \
  | 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: 0045c66c20bec3d581bf33e98f8f4b336ec267b661dbc6398eca05009f9f5234

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "887ac12551edbff05e835f68d9d87c7066296bb4050c13191562556458574892",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2006-01-14T14:24:25Z",
    "title_canon_sha256": "ae885e09cd2c92f4172dc272f4a38522802192fd1bd6d0bbb9eaecb7b13ecab1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0601355",
    "kind": "arxiv",
    "version": 1
  }
}