Pith Number

pith:PODDSKDJ

pith:2015:PODDSKDJRTIYN3SOZYMS4RL7A2

not attested not anchored not stored refs pending

Slope detection, foliations in graph manifolds, and L-spaces

Adam Clay, Steven Boyer

arxiv:1510.02378 v1 · 2015-10-08 · 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{PODDSKDJRTIYN3SOZYMS4RL7A2}

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	2026-05-18T01:30:43.939825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b863928698cd186ee4ece192e457f069edc2e69403f07ae5c5eeb688eb643f4

Aliases

arxiv: 1510.02378 · arxiv_version: 1510.02378v1 · doi: 10.48550/arxiv.1510.02378 · pith_short_12: PODDSKDJRTIY · pith_short_16: PODDSKDJRTIYN3SO · pith_short_8: PODDSKDJ

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/PODDSKDJRTIYN3SOZYMS4RL7A2 \
  | 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: 7b863928698cd186ee4ece192e457f069edc2e69403f07ae5c5eeb688eb643f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1dbea5c7780216fed3bbb0cbc702f5a6125d6d40c715f65e0541ccc126338fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-10-08T15:58:41Z",
    "title_canon_sha256": "85ca5faf831a01bcf4e09a839e8ee0034ac706e2a5f11ca7736b8bb49bf68fd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02378",
    "kind": "arxiv",
    "version": 1
  }
}