Pith Number

pith:6B4TPOZZ

pith:2007:6B4TPOZZQ7YZSA23RXFMHW5B33

not attested not anchored not stored refs pending

One-point reductions of finite spaces, h-regular CW-complexes and collapsibility

Elias Gabriel Minian, Jonathan Ariel Barmak

arxiv:0801.0007 v2 · 2007-12-28 · math.AT · math.CO · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6B4TPOZZQ7YZSA23RXFMHW5B33}

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	2026-05-18T02:41:51.846303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f07937bb3987f199035b8dcac3dba1ded30b68944ae27adefb67aadd1cb88882

Aliases

arxiv: 0801.0007 · arxiv_version: 0801.0007v2 · doi: 10.48550/arxiv.0801.0007 · pith_short_12: 6B4TPOZZQ7YZ · pith_short_16: 6B4TPOZZQ7YZSA23 · pith_short_8: 6B4TPOZZ

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/6B4TPOZZQ7YZSA23RXFMHW5B33 \
  | 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: f07937bb3987f199035b8dcac3dba1ded30b68944ae27adefb67aadd1cb88882

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eddaf468fc96913e13828bfb88ad9c8094e0cbec0ae35d19e529d6ad62da6712",
    "cross_cats_sorted": [
      "math.CO",
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2007-12-28T21:23:51Z",
    "title_canon_sha256": "ce6ce885feb25f618a18e679711ee2c6a6017c65e410514297a7e13eba79f924"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.0007",
    "kind": "arxiv",
    "version": 2
  }
}