Pith Number

pith:346WFF3E

pith:2012:346WFF3EUZEQ7XO3XFBRQSWHH3

not attested not anchored not stored refs pending

On the structure of K_G(T_G M)

Paul-Emile Paradan (I3M)

arxiv:1209.3852 v1 · 2012-09-18 · 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{346WFF3EUZEQ7XO3XFBRQSWHH3}

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	2026-05-18T03:45:22.371196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df3d629764a6490fdddbb943184ac73eca5726600f30deacf580060aff7a2bb1

Aliases

arxiv: 1209.3852 · arxiv_version: 1209.3852v1 · doi: 10.48550/arxiv.1209.3852 · pith_short_12: 346WFF3EUZEQ · pith_short_16: 346WFF3EUZEQ7XO3 · pith_short_8: 346WFF3E

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/346WFF3EUZEQ7XO3XFBRQSWHH3 \
  | 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: df3d629764a6490fdddbb943184ac73eca5726600f30deacf580060aff7a2bb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f33eb4299bcdce964740d7b3c6cb78756227b0b3d0312272392e717f02c855bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2012-09-18T06:04:50Z",
    "title_canon_sha256": "82890f2bef99d5a9495f32336987cf1eff2e62274c7fb53a243d33672fb59d17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3852",
    "kind": "arxiv",
    "version": 1
  }
}