Pith Number

pith:3FDWVHTV

pith:2024:3FDWVHTVLQ6SBRZR5W3YZVJNPR

not attested not anchored not stored refs pending

Normal forms of functions with degenerate singularities on surfaces equipped with semi-free circle actions

Bohdan Feshchenko

arxiv:2412.18944 v1 · 2024-12-25 · 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{3FDWVHTVLQ6SBRZR5W3YZVJNPR}

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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.

Cited by

1 paper in Pith

Reconstruction of real algebraic functions into curves with prescribed Reeb graphs

Receipt and verification

First computed	2026-07-05T09:54:13.588785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9476a9e755c3d20c731edb78cd52d7c66519e8dbb3176f4f429e38e2dc2e9cc

Aliases

arxiv: 2412.18944 · arxiv_version: 2412.18944v1 · doi: 10.48550/arxiv.2412.18944 · pith_short_12: 3FDWVHTVLQ6S · pith_short_16: 3FDWVHTVLQ6SBRZR · pith_short_8: 3FDWVHTV

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/3FDWVHTVLQ6SBRZR5W3YZVJNPR \
  | 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: d9476a9e755c3d20c731edb78cd52d7c66519e8dbb3176f4f429e38e2dc2e9cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f87f9fe5fd83c9f627ba139a724a46d1aa163c8a7d60412bfe0a8a1287627d5b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-12-25T16:37:10Z",
    "title_canon_sha256": "d0cadb0fa74a0d460341dfebb1d22520fbffcb2d26fc79eb2c0638af03430a78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.18944",
    "kind": "arxiv",
    "version": 1
  }
}