Pith Number

pith:TZWV7EM6

pith:2013:TZWV7EM6ZFAWK34ISIXDPNQB6D

not attested not anchored not stored refs pending

Orbits of geometric descent

Aris Daniilidis, A.S. Lewis, Dmitriy Drusvyatskiy

arxiv:1312.0695 v3 · 2013-12-03 · math.CA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TZWV7EM6ZFAWK34ISIXDPNQB6D}

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	2026-05-18T03:05:27.636569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e6d5f919ec941656f88922e37b601f0cab53a498e6d5ac8c5e2f426261f425d

Aliases

arxiv: 1312.0695 · arxiv_version: 1312.0695v3 · doi: 10.48550/arxiv.1312.0695 · pith_short_12: TZWV7EM6ZFAW · pith_short_16: TZWV7EM6ZFAWK34I · pith_short_8: TZWV7EM6

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/TZWV7EM6ZFAWK34ISIXDPNQB6D \
  | 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: 9e6d5f919ec941656f88922e37b601f0cab53a498e6d5ac8c5e2f426261f425d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a31d600f692d35555015b1175e77b9ca7d9f69eafc0861b79f4982bd81c45b62",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-12-03T04:25:10Z",
    "title_canon_sha256": "3160eda4554c0b184464252f8487c860a5a6e9a7aec8a05bce242c5c547222aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0695",
    "kind": "arxiv",
    "version": 3
  }
}