Pith Number

pith:XJZHTGVW

pith:2013:XJZHTGVWXTZ76IPORUA6TDK2FU

not attested not anchored not stored refs pending

On compacta not admitting a stable intersection in R^n

Michael Levin

arxiv:1310.2091 v1 · 2013-10-08 · math.GT · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XJZHTGVWXTZ76IPORUA6TDK2FU}

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	2026-05-18T00:13:33.047553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba72799ab6bcf3ff21ee8d01e98d5a2d10931f096a718eb2ece00d4541ff96ad

Aliases

arxiv: 1310.2091 · arxiv_version: 1310.2091v1 · doi: 10.48550/arxiv.1310.2091 · pith_short_12: XJZHTGVWXTZ7 · pith_short_16: XJZHTGVWXTZ76IPO · pith_short_8: XJZHTGVW

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/XJZHTGVWXTZ76IPORUA6TDK2FU \
  | 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: ba72799ab6bcf3ff21ee8d01e98d5a2d10931f096a718eb2ece00d4541ff96ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57e5a498bc6f4ab5daa62c4b6d2874a11a1c1c0c15013eb5c9bd3f55292aef58",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-10-08T10:57:53Z",
    "title_canon_sha256": "4a931fa92056fbd1940751883767a1540297e2343a87a927d8f44779ba7359a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2091",
    "kind": "arxiv",
    "version": 1
  }
}