Pith Number

pith:Q5AX32CQ

pith:2015:Q5AX32CQPRPPNQQTAT4Y5OLCW3

not attested not anchored not stored refs pending

Generalized covering space theories

Jeremy Brazas

arxiv:1508.05004 v1 · 2015-08-20 · math.AT · math.CT · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q5AX32CQPRPPNQQTAT4Y5OLCW3}

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	2026-05-18T01:32:09.977444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87417de8507c5ef6c21304f98eb962b6e457b16393e7ecb9ee5a9929d28c4c0f

Aliases

arxiv: 1508.05004 · arxiv_version: 1508.05004v1 · doi: 10.48550/arxiv.1508.05004 · pith_short_12: Q5AX32CQPRPP · pith_short_16: Q5AX32CQPRPPNQQT · pith_short_8: Q5AX32CQ

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/Q5AX32CQPRPPNQQTAT4Y5OLCW3 \
  | 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: 87417de8507c5ef6c21304f98eb962b6e457b16393e7ecb9ee5a9929d28c4c0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df0ca6cf2d5d742051f23686c1c6747b1917e6d697e526c6c336c2db9a51ac14",
    "cross_cats_sorted": [
      "math.CT",
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-08-20T15:17:20Z",
    "title_canon_sha256": "a5e422f6113d2a63b6e609bcace4897931c398059a2c4a9b0d82cd03fdf5a65f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05004",
    "kind": "arxiv",
    "version": 1
  }
}