Pith Number

pith:PHVZRRDZ

pith:2015:PHVZRRDZNODIDWYLGVU5C7W3SF

not attested not anchored not stored refs pending

Contracting orbits in Outer space

Samuel J. Taylor, Spencer Dowdall

arxiv:1502.04053 v3 · 2015-02-13 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PHVZRRDZNODIDWYLGVU5C7W3SF}

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	2026-05-17T23:59:18.343252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79eb98c4796b8681db0b3569d17edb914ce748ae7fd2fdebab776f8922d019d1

Aliases

arxiv: 1502.04053 · arxiv_version: 1502.04053v3 · doi: 10.48550/arxiv.1502.04053 · pith_short_12: PHVZRRDZNODI · pith_short_16: PHVZRRDZNODIDWYL · pith_short_8: PHVZRRDZ

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/PHVZRRDZNODIDWYLGVU5C7W3SF \
  | 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: 79eb98c4796b8681db0b3569d17edb914ce748ae7fd2fdebab776f8922d019d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38832eab83d21d4b2c9d798792fde28737fae3b71a1d868c81a9e519d70ca59d",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-02-13T16:47:24Z",
    "title_canon_sha256": "7fc5df75ab1b07a6e9e5e0778597fa8790589411efd29b6027b112f0d77c7779"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04053",
    "kind": "arxiv",
    "version": 3
  }
}