Pith Number

pith:YHNTIH3I

pith:2019:YHNTIH3IOIMNXWJBDLSKTWVDVI

not attested not anchored not stored refs pending

Integration of singular foliations via paths

Alfonso Garmendia, Joel Villatoro

arxiv:1912.02148 v2 · 2019-12-04 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YHNTIH3IOIMNXWJBDLSKTWVDVI}

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	2026-07-05T02:48:50.120736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1db341f687218dbd9211ae4a9daa3aa295667aa46484d4b62a44bf92db5d094

Aliases

arxiv: 1912.02148 · arxiv_version: 1912.02148v2 · doi: 10.48550/arxiv.1912.02148 · pith_short_12: YHNTIH3IOIMN · pith_short_16: YHNTIH3IOIMNXWJB · pith_short_8: YHNTIH3I

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/YHNTIH3IOIMNXWJBDLSKTWVDVI \
  | 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: c1db341f687218dbd9211ae4a9daa3aa295667aa46484d4b62a44bf92db5d094

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a119e5e0c1073b2cc4e07edb04dd74ee4cdc771592b835dd73424dfbad5da91a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-12-04T17:54:38Z",
    "title_canon_sha256": "c2e5f368e2b6d80446b286950fc18e27d50fa5f1c066184cf8aa927defcde6ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.02148",
    "kind": "arxiv",
    "version": 2
  }
}