Pith Number

pith:HNU5G3PD

pith:2006:HNU5G3PDGLVEMPETGSMV6CKDIY

not attested not anchored not stored refs pending

Rational homotopy theory: a brief introduction

Kathryn Hess

arxiv:math/0604626 v2 · 2006-04-28 · 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{HNU5G3PDGLVEMPETGSMV6CKDIY}

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

3 papers in Pith

Higher Gauge Theory via Differential Nonabelian Cohomology

Generalised Symmetries and Swampland-Type Constraints from Charge Quantisation via Rational Homotopy Theory

Receipt and verification

First computed	2026-07-04T14:54:38.815913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b69d36de332ea463c9334995f094346119490dbb1b92048dea70510781b6060

Aliases

arxiv: math/0604626 · arxiv_version: math/0604626v2 · doi: 10.48550/arxiv.math/0604626 · pith_short_12: HNU5G3PDGLVE · pith_short_16: HNU5G3PDGLVEMPET · pith_short_8: HNU5G3PD

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/HNU5G3PDGLVEMPETGSMV6CKDIY \
  | 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: 3b69d36de332ea463c9334995f094346119490dbb1b92048dea70510781b6060

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9a71041e4f7561c4b79234fa1c5f248e8b9f5e07685348f822341da6979bc24",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2006-04-28T10:01:13Z",
    "title_canon_sha256": "334fbefa353ec215223e1b3e00043dc8027680781068850bbecec4969c0b1896"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0604626",
    "kind": "arxiv",
    "version": 2
  }
}