Pith Number

pith:VZSC6MP7

pith:2012:VZSC6MP76S7KMG3H4LNRODIWJU

not attested not anchored not stored refs pending

A higher chromatic analogue of the image of J

Craig Westerland

arxiv:1210.2472 v4 · 2012-10-09 · math.AT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VZSC6MP76S7KMG3H4LNRODIWJU}

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	2026-05-18T00:47:53.820297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae642f31fff4bea61b67e2db170d164d3ca8068232e80d36d737eeaedd4a75f7

Aliases

arxiv: 1210.2472 · arxiv_version: 1210.2472v4 · doi: 10.48550/arxiv.1210.2472 · pith_short_12: VZSC6MP76S7K · pith_short_16: VZSC6MP76S7KMG3H · pith_short_8: VZSC6MP7

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/VZSC6MP76S7KMG3H4LNRODIWJU \
  | 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: ae642f31fff4bea61b67e2db170d164d3ca8068232e80d36d737eeaedd4a75f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69961f6d7d18647261d400509e463a4260844c69fca3307b8b1c931f54c5e877",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-10-09T01:59:29Z",
    "title_canon_sha256": "9cf50ef87246033f4f3d69dad767eff4e8edcb4161c80f2b10977e3d0557214b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2472",
    "kind": "arxiv",
    "version": 4
  }
}