Pith Number

pith:GRZ57OVG

pith:2011:GRZ57OVGVBBYJSCNX43TLHDGW7

not attested not anchored not stored refs pending

Free loop space and homology

Jean-Louis Loday

arxiv:1110.0405 v1 · 2011-10-03 · math.AT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GRZ57OVGVBBYJSCNX43TLHDGW7}

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	2026-05-18T04:11:50.012815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3473dfbaa6a84384c84dbf37359c66b7f3ae1cd3de8074834150d4f53a4aff11

Aliases

arxiv: 1110.0405 · arxiv_version: 1110.0405v1 · doi: 10.48550/arxiv.1110.0405 · pith_short_12: GRZ57OVGVBBY · pith_short_16: GRZ57OVGVBBYJSCN · pith_short_8: GRZ57OVG

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/GRZ57OVGVBBYJSCNX43TLHDGW7 \
  | 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: 3473dfbaa6a84384c84dbf37359c66b7f3ae1cd3de8074834150d4f53a4aff11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e6d259e1c1dc17273a616aabce180ce253593030ab82384ee8592554dac8532",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-10-03T16:27:47Z",
    "title_canon_sha256": "c35c39098476afe9b37ba59295d89b137649eab61317058190b6e47ca8395bb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0405",
    "kind": "arxiv",
    "version": 1
  }
}