Pith Number

pith:IIRFEHQF

pith:2007:IIRFEHQFDB3J44SEULCXPRPIRG

not attested not anchored not stored refs pending

Secondary Characteristic Classes on Loop Spaces

Fabi\'an Torres-Ardila, Steven Rosenberg, Yoshiaki Maeda

arxiv:0705.1008 v5 · 2007-05-07 · math.DG · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IIRFEHQFDB3J44SEULCXPRPIRG}

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	2026-05-18T03:42:24.304660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4222521e0518769e7244a2c577c5e889903dce8e8eb44c487a502cee59fbfebf

Aliases

arxiv: 0705.1008 · arxiv_version: 0705.1008v5 · doi: 10.48550/arxiv.0705.1008 · pith_short_12: IIRFEHQFDB3J · pith_short_16: IIRFEHQFDB3J44SE · pith_short_8: IIRFEHQF

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/IIRFEHQFDB3J44SEULCXPRPIRG \
  | 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: 4222521e0518769e7244a2c577c5e889903dce8e8eb44c487a502cee59fbfebf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44b733f3430c4a8fb72c877f0a6a0748ab3c9cd43fe468da38102d100579cad2",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2007-05-07T22:24:46Z",
    "title_canon_sha256": "e7339c50b18bf630d4ff379a0bfee7c05711300944a27b1cd5ddac54b84c7d92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.1008",
    "kind": "arxiv",
    "version": 5
  }
}