Pith Number

pith:UIWXWLBF

pith:2006:UIWXWLBFTQAXY5QLGEFXGMTR6X

not attested not anchored not stored refs pending

Cofibrations in Homotopy Theory

Andrei Radulescu-Banu

arxiv:math/0610009 v4 · 2006-09-30 · math.AT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UIWXWLBFTQAXY5QLGEFXGMTR6X}

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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.

Cited by

1 paper in Pith

Homotopy theories via the magnitude-path spectral sequence

Receipt and verification

First computed	2026-07-04T15:37:26.823798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a22d7b2c259c017c760b310b733271f5e74ee515e26ba7680da36cfbe88abcf8

Aliases

arxiv: math/0610009 · arxiv_version: math/0610009v4 · doi: 10.48550/arxiv.math/0610009 · pith_short_12: UIWXWLBFTQAX · pith_short_16: UIWXWLBFTQAXY5QL · pith_short_8: UIWXWLBF

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/UIWXWLBFTQAXY5QLGEFXGMTR6X \
  | 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: a22d7b2c259c017c760b310b733271f5e74ee515e26ba7680da36cfbe88abcf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bb943e934bd51ca5c961dfdade6a85f9c6dcc78121f5a9d3ccd1e14336cdcb7",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2006-09-30T01:12:09Z",
    "title_canon_sha256": "61d7420f9ffbee5854bf4985b7498bec958c8dd5efdc536c8f866ecd02406556"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610009",
    "kind": "arxiv",
    "version": 4
  }
}