Pith Number

pith:SPC2Y2AI

pith:2026:SPC2Y2AISOFBXCXJZS26NB7TFO

not attested not anchored not stored refs pending

The diameter function is a topological Morse function

Bhola Nath Saha, Ingrid Irmer

arxiv:2606.21291 v1 · 2026-06-19 · 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{SPC2Y2AISOFBXCXJZS26NB7TFO}

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	2026-06-23T01:12:36.173727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93c5ac6808938a1b8ae9ccb5e687f32baf77dabc0283f23ad6e5d4901d2cca70

Aliases

arxiv: 2606.21291 · arxiv_version: 2606.21291v1 · doi: 10.48550/arxiv.2606.21291 · pith_short_12: SPC2Y2AISOFB · pith_short_16: SPC2Y2AISOFBXCXJ · pith_short_8: SPC2Y2AI

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/SPC2Y2AISOFBXCXJZS26NB7TFO \
  | 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: 93c5ac6808938a1b8ae9ccb5e687f32baf77dabc0283f23ad6e5d4901d2cca70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7bbceb5b23076443508eda88ba69e9ea1dd438846784ea3bb3f93c77980e954",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-06-19T10:14:46Z",
    "title_canon_sha256": "1d6ec43a46c6311a409517b18196f97ff21b9840537bd3ea646bfa5b61009639"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21291",
    "kind": "arxiv",
    "version": 1
  }
}