Pith Number

pith:7HM2UB4E

pith:2016:7HM2UB4EOCU576SACICAKCMTUH

not attested not anchored not stored refs pending

Algebraic models of homotopy types and the homotopy hypothesis

Simon Henry

arxiv:1609.04622 v1 · 2016-09-15 · math.CT · 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{7HM2UB4EOCU576SACICAKCMTUH}

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.

Cited by

1 paper in Pith

An Inductive Strategy Towards a Solution to the Generalized Homotopy Hypothesis

Receipt and verification

First computed	2026-05-18T01:04:36.131398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9d9aa078470a9dffa401204050993a1de79901fa7a2a87ad710d258f76a7c87

Aliases

arxiv: 1609.04622 · arxiv_version: 1609.04622v1 · doi: 10.48550/arxiv.1609.04622 · pith_short_12: 7HM2UB4EOCU5 · pith_short_16: 7HM2UB4EOCU576SA · pith_short_8: 7HM2UB4E

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/7HM2UB4EOCU576SACICAKCMTUH \
  | 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: f9d9aa078470a9dffa401204050993a1de79901fa7a2a87ad710d258f76a7c87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fa5fe1803ae44ff9366b84678c73bf8b365f0e69645da3415f54c15400c6d6b",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2016-09-15T13:18:02Z",
    "title_canon_sha256": "dc3e205a6759ef63a911a56943822dfbeb0c3dc96eb52bcc9a9b2aa7a588c20e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04622",
    "kind": "arxiv",
    "version": 1
  }
}