Pith Number

pith:JJ4WYJOE

pith:2017:JJ4WYJOEHJLQ43MJRI2AEY75CZ

not attested not anchored not stored refs pending

On the history of the Hopf problem

Giovanni Bazzoni, Ilka Agricola, Oliver Goertsches, Panagiotis Konstantis, S\"onke Rollenske

arxiv:1708.01068 v1 · 2017-08-03 · math.HO · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JJ4WYJOEHJLQ43MJRI2AEY75CZ}

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	2026-05-17T23:54:07.597375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a796c25c43a570e6d898a340263fd1658be1342d51035440bcc0bc8d41034ef

Aliases

arxiv: 1708.01068 · arxiv_version: 1708.01068v1 · doi: 10.48550/arxiv.1708.01068 · pith_short_12: JJ4WYJOEHJLQ · pith_short_16: JJ4WYJOEHJLQ43MJ · pith_short_8: JJ4WYJOE

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/JJ4WYJOEHJLQ43MJRI2AEY75CZ \
  | 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: 4a796c25c43a570e6d898a340263fd1658be1342d51035440bcc0bc8d41034ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f255092d098fa0880a949772013006d1b601657e3554b343c365a54e245d2afe",
    "cross_cats_sorted": [
      "math.AG",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2017-08-03T09:31:47Z",
    "title_canon_sha256": "48df56c39b59c0750c9e5fabe85605588383369b51712fe25a2db5c35837e159"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01068",
    "kind": "arxiv",
    "version": 1
  }
}