Pith Number

pith:WSMTRBDR

pith:2023:WSMTRBDRS5O7RCONLQN2CMZDS6

not attested not anchored not stored refs pending

From the Mayer-Vietoris spectral sequence to \"uberhomology

Carlo Collari, Daniele Celoria, Luigi Caputi

arxiv:2304.10134 v2 · 2023-04-20 · math.GT · math.AT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WSMTRBDRS5O7RCONLQN2CMZDS6}

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	2026-07-05T06:56:53.342075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b499388471975df889cd5c1ba1332397b4907c3212491e9e3806a8245bf8241c

Aliases

arxiv: 2304.10134 · arxiv_version: 2304.10134v2 · doi: 10.48550/arxiv.2304.10134 · pith_short_12: WSMTRBDRS5O7 · pith_short_16: WSMTRBDRS5O7RCON · pith_short_8: WSMTRBDR

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/WSMTRBDRS5O7RCONLQN2CMZDS6 \
  | 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: b499388471975df889cd5c1ba1332397b4907c3212491e9e3806a8245bf8241c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "deb9844796c5f3f69d776c9a803dbdbec2a245897865d1e0b9bd8fe8dc4dc5a7",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-04-20T07:35:15Z",
    "title_canon_sha256": "68686a95aff7a857bab4f8edd97513769ad0ddbbb17882ad44692bbbca0b9a92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.10134",
    "kind": "arxiv",
    "version": 2
  }
}