Pith Number

pith:JQ2BF73Y

pith:2016:JQ2BF73YHCMNCL4O6W46R6LBFQ

not attested not anchored not stored refs pending

Algebraic Hopf invariants and rational models for mapping spaces

Felix Wierstra

arxiv:1612.07762 v2 · 2016-12-22 · 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{JQ2BF73YHCMNCL4O6W46R6LBFQ}

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	2026-05-17T23:58:42.579822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c3412ff783898d12f8ef5b9e8f9612c18ecc192f685a5f7774d6017a2ca1fd1

Aliases

arxiv: 1612.07762 · arxiv_version: 1612.07762v2 · doi: 10.48550/arxiv.1612.07762 · pith_short_12: JQ2BF73YHCMN · pith_short_16: JQ2BF73YHCMNCL4O · pith_short_8: JQ2BF73Y

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/JQ2BF73YHCMNCL4O6W46R6LBFQ \
  | 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: 4c3412ff783898d12f8ef5b9e8f9612c18ecc192f685a5f7774d6017a2ca1fd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "845d5c1eab4a86867171b0c869022b6a106946f45753fbde8b3f9af12269d9da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-12-22T19:28:44Z",
    "title_canon_sha256": "5eb7ec7f55513bcdfae16d6c64a1ff5e0c7ec07ff5c03d172c10953edeeec29d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07762",
    "kind": "arxiv",
    "version": 2
  }
}