Pith Number

pith:ZSKNHJEG

pith:2012:ZSKNHJEGN3KTSVW7FFFTJ6GII3

not attested not anchored not stored refs pending

A note on the homotopy type of the Alexander dual

Elias Gabriel Minian, Jorge Tomas Rodriguez

arxiv:1206.3368 v1 · 2012-06-15 · 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{ZSKNHJEGN3KTSVW7FFFTJ6GII3}

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	2026-05-18T03:53:30.490842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc94d3a4866ed53956df294b34f8c846d5e9467278d7c677bc7b949f8f7ffd78

Aliases

arxiv: 1206.3368 · arxiv_version: 1206.3368v1 · doi: 10.48550/arxiv.1206.3368 · pith_short_12: ZSKNHJEGN3KT · pith_short_16: ZSKNHJEGN3KTSVW7 · pith_short_8: ZSKNHJEG

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/ZSKNHJEGN3KTSVW7FFFTJ6GII3 \
  | 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: cc94d3a4866ed53956df294b34f8c846d5e9467278d7c677bc7b949f8f7ffd78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c079a966f35f71bea4548bdfbc3085f9d9c4e8cb3d008a36c976ac057995d25",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-06-15T04:30:43Z",
    "title_canon_sha256": "896569bef767eed2a4adec0f16ade8dcb5342b8496bec08a99b2d6b20727c07f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3368",
    "kind": "arxiv",
    "version": 1
  }
}