Pith Number

pith:HAPMZD2E

pith:2013:HAPMZD2EUV7AK2AK2DHRHWDPYY

not attested not anchored not stored refs pending

On equivariant homotopy theory for model categories

Marc Stephan

arxiv:1308.0856 v3 · 2013-08-04 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HAPMZD2EUV7AK2AK2DHRHWDPYY}

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	2026-05-18T00:49:40.465640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

381ecc8f44a57e05680ad0cf13d86fc6308a94d1027acf84f286ce577c2d6ae3

Aliases

arxiv: 1308.0856 · arxiv_version: 1308.0856v3 · doi: 10.48550/arxiv.1308.0856 · pith_short_12: HAPMZD2EUV7A · pith_short_16: HAPMZD2EUV7AK2AK · pith_short_8: HAPMZD2E

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/HAPMZD2EUV7AK2AK2DHRHWDPYY \
  | 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: 381ecc8f44a57e05680ad0cf13d86fc6308a94d1027acf84f286ce577c2d6ae3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dd6c884653ba801fe8a9f93455db910f75ad823ab580f162e725c9c624d57cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-08-04T22:28:30Z",
    "title_canon_sha256": "bfc102a66ae6957485e960ac8e82b009fc12693a8da98f10193142a94d24709e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0856",
    "kind": "arxiv",
    "version": 3
  }
}