Pith Number

pith:6AR47WME

pith:2016:6AR47WMEEIVC7JAV3QH3NVW5PV

not attested not anchored not stored refs pending

Asymptotic theory of path spaces of graded graphs and its applications

A.Vershik

arxiv:1604.03022 v1 · 2016-04-11 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6AR47WMEEIVC7JAV3QH3NVW5PV}

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	2026-05-18T01:17:21.622126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f023cfd984222a2fa415dc0fb6d6dd7d72194be6557a5afbcdf04b9c55b17ccc

Aliases

arxiv: 1604.03022 · arxiv_version: 1604.03022v1 · doi: 10.48550/arxiv.1604.03022 · pith_short_12: 6AR47WMEEIVC · pith_short_16: 6AR47WMEEIVC7JAV · pith_short_8: 6AR47WME

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/6AR47WMEEIVC7JAV3QH3NVW5PV \
  | 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: f023cfd984222a2fa415dc0fb6d6dd7d72194be6557a5afbcdf04b9c55b17ccc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "878485e2d20daf5d284ebc0891b1040d2904a17598175768622aead40bc56857",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-04-11T16:29:20Z",
    "title_canon_sha256": "5c44a7c49b3313791edcc966d81cdab7c26b011f22dd1b559d422f8cbacee646"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03022",
    "kind": "arxiv",
    "version": 1
  }
}