Pith Number

pith:CL7EBT22

pith:2015:CL7EBT22PF3KITBMXJUOFILLSP

not attested not anchored not stored refs pending

A looping-delooping adjunction for topological spaces

Martina Rovelli

arxiv:1503.04840 v2 · 2015-03-16 · 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{CL7EBT22PF3KITBMXJUOFILLSP}

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	2026-05-18T01:20:11.964177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12fe40cf5a7976a44c2cba68e2a16b93d9e5f0546ff868348a707ee5263f4367

Aliases

arxiv: 1503.04840 · arxiv_version: 1503.04840v2 · doi: 10.48550/arxiv.1503.04840 · pith_short_12: CL7EBT22PF3K · pith_short_16: CL7EBT22PF3KITBM · pith_short_8: CL7EBT22

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/CL7EBT22PF3KITBMXJUOFILLSP \
  | 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: 12fe40cf5a7976a44c2cba68e2a16b93d9e5f0546ff868348a707ee5263f4367

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6a6a1214a7c84b73cf649aa9008f4d124d070b69ee7b43425ce9cbc530ed36e",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-03-16T20:45:47Z",
    "title_canon_sha256": "de12819d887489c652a596414ba553c366f504ced2d8b79db441b91534fba197"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.04840",
    "kind": "arxiv",
    "version": 2
  }
}