Pith Number

pith:5X3UVTUG

pith:2015:5X3UVTUGLH74VTY3HY3R6UNZMF

not attested not anchored not stored refs pending

On Computational Paths and the Fundamental Groupoid of a Type

Anjolina de Oliveira, Arthur F. Ramos, Ruy J. G. B. de Queiroz

arxiv:1509.06429 v1 · 2015-09-21 · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5X3UVTUGLH74VTY3HY3R6UNZMF}

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	2026-05-18T01:32:20.338030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edf74ace8659ffcacf1b3e371f51b9616f6f6ce1ae685d467c1759aae0e9ee14

Aliases

arxiv: 1509.06429 · arxiv_version: 1509.06429v1 · doi: 10.48550/arxiv.1509.06429 · pith_short_12: 5X3UVTUGLH74 · pith_short_16: 5X3UVTUGLH74VTY3 · pith_short_8: 5X3UVTUG

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/5X3UVTUGLH74VTY3HY3R6UNZMF \
  | 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: edf74ace8659ffcacf1b3e371f51b9616f6f6ce1ae685d467c1759aae0e9ee14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d339b05621fc1129edc0b721364157ef64067e5d97380e2bd9a35b7fdd2d3e11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2015-09-21T23:46:26Z",
    "title_canon_sha256": "1f9af20bb13abd3f38246cf54bbe6654409818c1519637880291b24b7450d8cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06429",
    "kind": "arxiv",
    "version": 1
  }
}