Pith Number

pith:MTIAKWKV

pith:2015:MTIAKWKV2K2AET5GL35XO6CYRK

not attested not anchored not stored refs pending

Transverse invariants and right-veering

Olga Plamenevskaya

arxiv:1509.01732 v1 · 2015-09-05 · math.GT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MTIAKWKV2K2AET5GL35XO6CYRK}

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	2026-05-18T00:02:36.862103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64d0055955d2b4024fa65efb7778588ab8fe86da9ac2172c24a5f1bd2deee052

Aliases

arxiv: 1509.01732 · arxiv_version: 1509.01732v1 · doi: 10.48550/arxiv.1509.01732 · pith_short_12: MTIAKWKV2K2A · pith_short_16: MTIAKWKV2K2AET5G · pith_short_8: MTIAKWKV

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/MTIAKWKV2K2AET5GL35XO6CYRK \
  | 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: 64d0055955d2b4024fa65efb7778588ab8fe86da9ac2172c24a5f1bd2deee052

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "214298e2ac3d04a07cd45eb6dd1583685a46eb6559e8a5c2a530ef91b6a2a26c",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-09-05T20:22:44Z",
    "title_canon_sha256": "a7170830d67cb7d42da4e0bddb5e29d737698c63c2e59cc0bae544d08b3f9a8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01732",
    "kind": "arxiv",
    "version": 1
  }
}