Pith Number

pith:RS5ZCBKA

pith:2011:RS5ZCBKAMJ5VNSTUSXTPKLOMOP

not attested not anchored not stored refs pending

Special framed Morse functions on surfaces

Elena A. Kudryavtseva

arxiv:1106.3116 v1 · 2011-06-15 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RS5ZCBKAMJ5VNSTUSXTPKLOMOP}

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	2026-05-18T01:23:10.772355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cbb910540627b56ca7495e6f52dcc73f9fb31a4e2b8fb07e81c725423304808

Aliases

arxiv: 1106.3116 · arxiv_version: 1106.3116v1 · doi: 10.48550/arxiv.1106.3116 · pith_short_12: RS5ZCBKAMJ5V · pith_short_16: RS5ZCBKAMJ5VNSTU · pith_short_8: RS5ZCBKA

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/RS5ZCBKAMJ5VNSTUSXTPKLOMOP \
  | 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: 8cbb910540627b56ca7495e6f52dcc73f9fb31a4e2b8fb07e81c725423304808

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c850f6459d1b42bd885040a7cfd0b32ba201601fa201ed338dafe4d269f232f9",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-06-15T22:53:18Z",
    "title_canon_sha256": "d80322c96b4e62f41d6a86ad5a21b93d30a53facd022902d3bd41ca1ec3a0e86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3116",
    "kind": "arxiv",
    "version": 1
  }
}