Pith Number

pith:PTKGMS7O

pith:2025:PTKGMS7OSBW3NVEXVXA6BLQVKW

not attested not anchored not stored refs pending

Algebraic interleavings of spaces over the classifying space of the circle

Katsuhiko Kuribayashi, Shun Wakatsuki, Takahito Naito, Toshihiro Yamaguchi

arxiv:2501.09257 v1 · 2025-01-16 · math.AT

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\usepackage{pith}
\pithnumber{PTKGMS7OSBW3NVEXVXA6BLQVKW}

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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

A distance between maps via interleavings of relative Sullivan algebras

Receipt and verification

First computed	2026-07-05T10:01:44.273157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cd4664bee906db6d497adc1e0ae1555ba850de61b551d37f29f8903e4bf425f

Aliases

arxiv: 2501.09257 · arxiv_version: 2501.09257v1 · doi: 10.48550/arxiv.2501.09257 · pith_short_12: PTKGMS7OSBW3 · pith_short_16: PTKGMS7OSBW3NVEX · pith_short_8: PTKGMS7O

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/PTKGMS7OSBW3NVEXVXA6BLQVKW \
  | 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: 7cd4664bee906db6d497adc1e0ae1555ba850de61b551d37f29f8903e4bf425f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b500f7b8faaacb45133ece4e13b977e73cb6fe7b9d80d38f3db0148af817d78",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2025-01-16T02:56:14Z",
    "title_canon_sha256": "a1a4840967e17a0816a889a26245ff4730aa723a9253af3e47b4d4c9c7641232"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.09257",
    "kind": "arxiv",
    "version": 1
  }
}