Pith Number

pith:VQXV2J6Y

pith:2016:VQXV2J6YESMDGWDKR3UMGMHK35

not attested not anchored not stored refs pending

Mean Topological Dimension for random bundle transformations

Ercai Chen, Junqi Yang, Xianfeng Ma

arxiv:1604.07293 v1 · 2016-04-25 · 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{VQXV2J6YESMDGWDKR3UMGMHK35}

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	2026-05-18T01:16:22.531064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac2f5d27d8249833586a8ee8c330eadf79fc40be38e9877c99f0b6de9e2259be

Aliases

arxiv: 1604.07293 · arxiv_version: 1604.07293v1 · doi: 10.48550/arxiv.1604.07293 · pith_short_12: VQXV2J6YESMD · pith_short_16: VQXV2J6YESMDGWDK · pith_short_8: VQXV2J6Y

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/VQXV2J6YESMDGWDKR3UMGMHK35 \
  | 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: ac2f5d27d8249833586a8ee8c330eadf79fc40be38e9877c99f0b6de9e2259be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ede086c18fe53d895d4be3eec0ea689107470b2e4158a7a987f3a89537afac9c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-04-25T14:53:49Z",
    "title_canon_sha256": "348403d055ee3e8559e0030585438a4719f6db511273623265812a4376348be7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07293",
    "kind": "arxiv",
    "version": 1
  }
}