Pith Number

pith:O5CBYFK6

pith:2012:O5CBYFK6STBOCW4TKCRUWB52O2

not attested not anchored not stored refs pending

Fibrewise rational H-spaces

Gregory Lupton, Samuel B. Smith

arxiv:1208.4073 v1 · 2012-08-20 · 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{O5CBYFK6STBOCW4TKCRUWB52O2}

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	2026-05-18T03:48:25.318527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77441c155e94c2e15b9350a34b07ba76ad862dc4ec7a8881ede1d3a18c52799d

Aliases

arxiv: 1208.4073 · arxiv_version: 1208.4073v1 · doi: 10.48550/arxiv.1208.4073 · pith_short_12: O5CBYFK6STBO · pith_short_16: O5CBYFK6STBOCW4T · pith_short_8: O5CBYFK6

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/O5CBYFK6STBOCW4TKCRUWB52O2 \
  | 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: 77441c155e94c2e15b9350a34b07ba76ad862dc4ec7a8881ede1d3a18c52799d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb1ca8341066801314303564269e238f6c1570b5de5d93fdf2c8545f85355b25",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-08-20T18:05:42Z",
    "title_canon_sha256": "dd82076aa07a774ea8b69d9288ee69011292b7233f42fee85004cd7e199e4a42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4073",
    "kind": "arxiv",
    "version": 1
  }
}