Pith Number

pith:BP77APHH

pith:2011:BP77APHHZUEMKBKAJ2VXNCKA46

not attested not anchored not stored refs pending

Resonance for loop homology of spheres

Hans-Bert Rademacher, Nancy Hingston

arxiv:1105.0783 v2 · 2011-05-04 · math.DG · 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{BP77APHHZUEMKBKAJ2VXNCKA46}

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	2026-05-18T03:55:56.172820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bfff03ce7cd08c505404eab768940e7b2aa93131744e397cea9dc6f10122e49

Aliases

arxiv: 1105.0783 · arxiv_version: 1105.0783v2 · doi: 10.48550/arxiv.1105.0783 · pith_short_12: BP77APHHZUEM · pith_short_16: BP77APHHZUEMKBKA · pith_short_8: BP77APHH

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/BP77APHHZUEMKBKAJ2VXNCKA46 \
  | 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: 0bfff03ce7cd08c505404eab768940e7b2aa93131744e397cea9dc6f10122e49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4293f721a0f5b83c52f1abc8c35c9c7b35a86dc9c28624ceacbbeffb191712a8",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-05-04T10:10:37Z",
    "title_canon_sha256": "701a919c7b7a582f903636f5ee3b507da8860b539df294c57a76bcbcc3def32c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0783",
    "kind": "arxiv",
    "version": 2
  }
}