Pith Number

pith:ZL2NTZSF

pith:2012:ZL2NTZSFNHGFVIO2IZS5EK5KZV

not attested not anchored not stored refs pending

Upper and lower bounds for the iterates of order-preserving homogeneous maps on cones

Brian Lins, Cole Franks, Philip Chodrow

arxiv:1205.7003 v1 · 2012-05-31 · math.DS · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZL2NTZSFNHGFVIO2IZS5EK5KZV}

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	2026-05-18T03:54:36.397240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

caf4d9e64569cc5aa1da4665d22baacd78fc8a35cae7cb312e05ed6900a528e8

Aliases

arxiv: 1205.7003 · arxiv_version: 1205.7003v1 · doi: 10.48550/arxiv.1205.7003 · pith_short_12: ZL2NTZSFNHGF · pith_short_16: ZL2NTZSFNHGFVIO2 · pith_short_8: ZL2NTZSF

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/ZL2NTZSFNHGFVIO2IZS5EK5KZV \
  | 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: caf4d9e64569cc5aa1da4665d22baacd78fc8a35cae7cb312e05ed6900a528e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c9c0650129c30cbb3ee600c240de4ee1840ebcd14192387666a312cb6a02cb3",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-05-31T14:22:51Z",
    "title_canon_sha256": "bf540c59dbeef364fef1f4d3fb2cce7aeabadf0385cd69be18a97bf9f87769c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.7003",
    "kind": "arxiv",
    "version": 1
  }
}