Pith Number

pith:I7B3QE7U

pith:2016:I7B3QE7UGU6G72DIFKJDY6UXPE

not attested not anchored not stored refs pending

Unified Functorial Signal Representation I: From Grothendieck fibration to Base structured categories

Salil Samant, Shiv Dutt Joshi

arxiv:1610.05926 v4 · 2016-10-19 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I7B3QE7UGU6G72DIFKJDY6UXPE}

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	2026-05-18T00:38:39.871130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47c3b813f4353c6fe8682a923c7a97793b5c6a873d24d7302e7b7bf7c9787990

Aliases

arxiv: 1610.05926 · arxiv_version: 1610.05926v4 · doi: 10.48550/arxiv.1610.05926 · pith_short_12: I7B3QE7UGU6G · pith_short_16: I7B3QE7UGU6G72DI · pith_short_8: I7B3QE7U

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/I7B3QE7UGU6G72DIFKJDY6UXPE \
  | 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: 47c3b813f4353c6fe8682a923c7a97793b5c6a873d24d7302e7b7bf7c9787990

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae117e94bd3de6d65bbc0a3b4848577414f51ded938618f0126206bd1ee078a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2016-10-19T09:19:57Z",
    "title_canon_sha256": "48c764d72da409d7c8c5b943595c2f038d2d969c65da31997d0509da7825153d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05926",
    "kind": "arxiv",
    "version": 4
  }
}