Pith Number

pith:EC5QEADV

pith:2024:EC5QEADVI6QJYGRMXQSMBOXOKW

not attested not anchored not stored refs pending

Coarse homological invariants of metric spaces

Alexander Margolis

arxiv:2411.04745 v1 · 2024-11-07 · math.GR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EC5QEADVI6QJYGRMXQSMBOXOKW}

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.

Cited by

1 paper in Pith

Quasimorphisms and Poincar\'e duality in dimension 3

Receipt and verification

First computed	2026-07-05T09:32:24.722642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20bb02007547a09c1a2cbc24c0baee5592011987591d8366ed1651059e6171d6

Aliases

arxiv: 2411.04745 · arxiv_version: 2411.04745v1 · doi: 10.48550/arxiv.2411.04745 · pith_short_12: EC5QEADVI6QJ · pith_short_16: EC5QEADVI6QJYGRM · pith_short_8: EC5QEADV

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/EC5QEADVI6QJYGRMXQSMBOXOKW \
  | 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: 20bb02007547a09c1a2cbc24c0baee5592011987591d8366ed1651059e6171d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a6f0b618c9ef41c1347b08feeb0365768061ec5165a0b207fa8140d0713035f",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2024-11-07T14:28:23Z",
    "title_canon_sha256": "bd5f1a5f07538ffd0abd33cee140bd20b9bc614d480f379ac2efaea80ba8f956"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.04745",
    "kind": "arxiv",
    "version": 1
  }
}