Pith Number

pith:JGWTLIB2

pith:2014:JGWTLIB2F3PT4AAXVNDXBTCWET

not attested not anchored not stored refs pending

Ergodic decompositions for folding and unfolding paths in Outer space

Alexandra Pettet, Hossein Namazi, Patrick Reynolds

arxiv:1410.8870 v1 · 2014-10-31 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JGWTLIB2F3PT4AAXVNDXBTCWET}

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	2026-05-18T02:38:53.528186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49ad35a03a2edf3e0017ab4770cc5624dbf2eebd9ba7e17cb8bbaf2bb2712aca

Aliases

arxiv: 1410.8870 · arxiv_version: 1410.8870v1 · doi: 10.48550/arxiv.1410.8870 · pith_short_12: JGWTLIB2F3PT · pith_short_16: JGWTLIB2F3PT4AAX · pith_short_8: JGWTLIB2

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/JGWTLIB2F3PT4AAXVNDXBTCWET \
  | 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: 49ad35a03a2edf3e0017ab4770cc5624dbf2eebd9ba7e17cb8bbaf2bb2712aca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f6c24e5e0e3228f7cf36eb4a1195c51c7777e9e2b5935689fb54a21a5e1e37c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-10-31T19:59:25Z",
    "title_canon_sha256": "51651202e418ad3e456180ea0142ea54ad7b92d4d51b7cc470270fe219ae9aa9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.8870",
    "kind": "arxiv",
    "version": 1
  }
}