Pith Number

pith:G5FNY4TH

pith:2013:G5FNY4THC7MBBAVRFOITTIZPZS

not attested not anchored not stored refs pending

Hodge theory on Cheeger spaces

Eric Leichtnam, Paolo Piazza, Pierre Albin, Rafe Mazzeo

arxiv:1307.5473 v3 · 2013-07-20 · math.DG · math.GT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G5FNY4THC7MBBAVRFOITTIZPZS}

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	2026-05-18T01:27:37.075552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

374adc726717d81082b12b9139a32fcc8607ada46450e20152d09a1d259c94a9

Aliases

arxiv: 1307.5473 · arxiv_version: 1307.5473v3 · doi: 10.48550/arxiv.1307.5473 · pith_short_12: G5FNY4THC7MB · pith_short_16: G5FNY4THC7MBBAVR · pith_short_8: G5FNY4TH

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/G5FNY4THC7MBBAVRFOITTIZPZS \
  | 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: 374adc726717d81082b12b9139a32fcc8607ada46450e20152d09a1d259c94a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3de0c9e684f163991cf67ff25cbcfdec2d8ff46a7dac710e065f5f7d9763c62b",
    "cross_cats_sorted": [
      "math.GT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-07-20T23:04:51Z",
    "title_canon_sha256": "59f9d355fbdb0892ecf9e089d3d73020aa085d4733e89a82fb73f088075bbff3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5473",
    "kind": "arxiv",
    "version": 3
  }
}