Pith Number

pith:USSN4ULR

pith:2012:USSN4ULRIZUPCOP7KKR2PQIU3P

not attested not anchored not stored refs pending

Expanding Semiflows on Branched Surfaces and One-Parameter Semigroups of Operators

Oliver Butterley

arxiv:1206.1232 v1 · 2012-06-06 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{USSN4ULRIZUPCOP7KKR2PQIU3P}

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	2026-05-18T01:57:07.121537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4a4de51714668f139ff52a3a7c114dbd7e452703f658e8334dc7dd7bf6daeea

Aliases

arxiv: 1206.1232 · arxiv_version: 1206.1232v1 · doi: 10.48550/arxiv.1206.1232 · pith_short_12: USSN4ULRIZUP · pith_short_16: USSN4ULRIZUPCOP7 · pith_short_8: USSN4ULR

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/USSN4ULRIZUPCOP7KKR2PQIU3P \
  | 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: a4a4de51714668f139ff52a3a7c114dbd7e452703f658e8334dc7dd7bf6daeea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85612c97388c674ab29bc9015bb4b558aa1db133055bc8025a0b3c196995be44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-06-06T14:11:03Z",
    "title_canon_sha256": "2db698be276e02a46b53a34d711d05fe814ab03e3a520572a765d57a549d0916"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1232",
    "kind": "arxiv",
    "version": 1
  }
}