Pith Number

pith:YNUWRLEK

pith:2017:YNUWRLEKI6HG3GZ2UUE237YPXE

not attested not anchored not stored refs pending

Hopf invariants and differential forms

Felix Wierstra

arxiv:1711.04565 v2 · 2017-11-13 · 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{YNUWRLEKI6HG3GZ2UUE237YPXE}

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	2026-05-17T23:58:42.244817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c36968ac8a478e6d9b3aa509adff0fb91ad10552cffc17ebcf7c0471061bd2da

Aliases

arxiv: 1711.04565 · arxiv_version: 1711.04565v2 · doi: 10.48550/arxiv.1711.04565 · pith_short_12: YNUWRLEKI6HG · pith_short_16: YNUWRLEKI6HG3GZ2 · pith_short_8: YNUWRLEK

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/YNUWRLEKI6HG3GZ2UUE237YPXE \
  | 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: c36968ac8a478e6d9b3aa509adff0fb91ad10552cffc17ebcf7c0471061bd2da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a6619eefd9e711dc00c50b072704575e330ea7271c1a034daec56399a9cf55b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-11-13T13:19:00Z",
    "title_canon_sha256": "a6194b45e1f5dd7630b4cb94535d0bf4ed4a308162a562b05c5ac9ef5b2f90b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.04565",
    "kind": "arxiv",
    "version": 2
  }
}