Pith Number

pith:GLZKTP4H

pith:2018:GLZKTP4HRUVG4QDJXCMP4HZNYB

not attested not anchored not stored refs pending

Freudenthal theorem and spherical classes in $H_*QS^0$

Hadi Zare

arxiv:1801.06427 v2 · 2018-01-18 · 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{GLZKTP4HRUVG4QDJXCMP4HZNYB}

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	2026-05-18T00:25:23.063593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32f2a9bf878d2a6e4069b898fe1f2dc060d2d027219f20d42e920d629143a40a

Aliases

arxiv: 1801.06427 · arxiv_version: 1801.06427v2 · doi: 10.48550/arxiv.1801.06427 · pith_short_12: GLZKTP4HRUVG · pith_short_16: GLZKTP4HRUVG4QDJ · pith_short_8: GLZKTP4H

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/GLZKTP4HRUVG4QDJXCMP4HZNYB \
  | 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: 32f2a9bf878d2a6e4069b898fe1f2dc060d2d027219f20d42e920d629143a40a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44ab433cc6f9f6c5d88da93ce1a62998e5d3857f8795ff5bac046b216530547e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-01-18T06:09:00Z",
    "title_canon_sha256": "2b03ba93d0591dd7541d9b17f3d33c1289ac2f2cd5310d68698b81f1477dc53c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.06427",
    "kind": "arxiv",
    "version": 2
  }
}