Pith Number

pith:ONYWKAE4

pith:2018:ONYWKAE4HGB2IC5QV32DMHUB4Q

not attested not anchored not stored refs pending

On Freudenthal theorem, Kahn-Priddy Theorem, and Curits conjecture

Hadi Zare

arxiv:1801.07480 v3 · 2018-01-23 · 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{ONYWKAE4HGB2IC5QV32DMHUB4Q}

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	2026-05-18T00:17:53.613969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

737165009c3983a40bb0aef4361e81e41b45d882e0bba595943072a51a61e868

Aliases

arxiv: 1801.07480 · arxiv_version: 1801.07480v3 · doi: 10.48550/arxiv.1801.07480 · pith_short_12: ONYWKAE4HGB2 · pith_short_16: ONYWKAE4HGB2IC5Q · pith_short_8: ONYWKAE4

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/ONYWKAE4HGB2IC5QV32DMHUB4Q \
  | 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: 737165009c3983a40bb0aef4361e81e41b45d882e0bba595943072a51a61e868

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c470b821d2ad9c4e45f64a6e688ba8cd91a5668fbf22fa8d911d8150af53369",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-01-23T10:53:17Z",
    "title_canon_sha256": "71685b324642f717cd776d09bf4eaf08bef554b880e45686acf343553d8e64c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.07480",
    "kind": "arxiv",
    "version": 3
  }
}