Pith Number

pith:IV3AUUSF

pith:2015:IV3AUUSF5GLEB7TTVLVK6SVIBK

not attested not anchored not stored refs pending

Convergence of earthquake and horocycle paths to the boundary of Teichm\"uller space

Manman Jiang, Weixu Su

arxiv:1512.08664 v1 · 2015-12-29 · 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{IV3AUUSF5GLEB7TTVLVK6SVIBK}

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	2026-05-18T01:23:35.188133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45760a5245e99640fe73aaeaaf4aa80a89252908294960c5d780795bfbf39827

Aliases

arxiv: 1512.08664 · arxiv_version: 1512.08664v1 · doi: 10.48550/arxiv.1512.08664 · pith_short_12: IV3AUUSF5GLE · pith_short_16: IV3AUUSF5GLEB7TT · pith_short_8: IV3AUUSF

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/IV3AUUSF5GLEB7TTVLVK6SVIBK \
  | 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: 45760a5245e99640fe73aaeaaf4aa80a89252908294960c5d780795bfbf39827

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d00b524c66a8b00d2ede93b3d20ae15f56ac3a83a7b45596ebbee033b18a8af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-12-29T11:58:56Z",
    "title_canon_sha256": "8655c0de763c003078220df44e10e5890e2c0ca858b3a7fcdbaa01f0709c6e38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08664",
    "kind": "arxiv",
    "version": 1
  }
}