Pith Number

pith:QUNNHMJI

pith:2016:QUNNHMJI3DTRVD2TIX6RYCYSHY

not attested not anchored not stored refs pending

Counting saddle connections in flat surfaces with poles of higher order

Guillaume Tahar

arxiv:1606.03705 v5 · 2016-06-12 · 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{QUNNHMJI3DTRVD2TIX6RYCYSHY}

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	2026-05-18T00:28:41.339943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

851ad3b128d8e71a8f5345fd1c0b123e3eb355fe62efd5953644f7ef28b6ca7a

Aliases

arxiv: 1606.03705 · arxiv_version: 1606.03705v5 · doi: 10.48550/arxiv.1606.03705 · pith_short_12: QUNNHMJI3DTR · pith_short_16: QUNNHMJI3DTRVD2T · pith_short_8: QUNNHMJI

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/QUNNHMJI3DTRVD2TIX6RYCYSHY \
  | 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: 851ad3b128d8e71a8f5345fd1c0b123e3eb355fe62efd5953644f7ef28b6ca7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d046d0273ef96e7471450bbc317f0ce0a37cd0f3d72ee876c93292366dd8fcb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-06-12T12:59:52Z",
    "title_canon_sha256": "772a8f89476dfaed41d01c0a70e0c314b5e63e584e732a9e770030562128c333"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03705",
    "kind": "arxiv",
    "version": 5
  }
}