Pith Number

pith:TRXBTTD3

pith:2014:TRXBTTD3WN6EYWQMO73SGG47AS

not attested not anchored not stored refs pending

The shadow of a Thurston geodesic to the curve graph

Anna Lenzhen, Jing Tao, Kasra Rafi

arxiv:1405.1465 v2 · 2014-05-06 · 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{TRXBTTD3WN6EYWQMO73SGG47AS}

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	2026-05-18T01:15:00.562999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c6e19cc7bb37c4c5a0c77f7231b9f049e6bd455ef286e96a024409e45066e8a

Aliases

arxiv: 1405.1465 · arxiv_version: 1405.1465v2 · doi: 10.48550/arxiv.1405.1465 · pith_short_12: TRXBTTD3WN6E · pith_short_16: TRXBTTD3WN6EYWQM · pith_short_8: TRXBTTD3

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/TRXBTTD3WN6EYWQMO73SGG47AS \
  | 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: 9c6e19cc7bb37c4c5a0c77f7231b9f049e6bd455ef286e96a024409e45066e8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "104c843a3109f968df7c9c352e6f18bcef23830cfe1b39ed90f237ca21803abd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-05-06T22:31:10Z",
    "title_canon_sha256": "033233ff5438fd836e120a2c523b90f5d18a509bda76e506d43dac02632efc98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.1465",
    "kind": "arxiv",
    "version": 2
  }
}