pith. sign in
Pith Number

pith:ZO3C4PWW

pith:2015:ZO3C4PWWZP7VIDDMPDC2IYT7CQ
not attested not anchored not stored refs pending

Market Fragility, Systemic Risk, and Ricci Curvature

Allen Tannenbaum, Romeil Sandhu, Tryphon Georgiou

arxiv:1505.05182 v1 · 2015-05-19 · q-fin.RM

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZO3C4PWWZP7VIDDMPDC2IYT7CQ}

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 2026-05-18T02:03:59.230781Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

cbb62e3ed6cbff540c6c78c5a4627f141750f268537ae1bcc5d82ba6bd7999b4

Aliases

arxiv: 1505.05182 · arxiv_version: 1505.05182v1 · doi: 10.48550/arxiv.1505.05182 · pith_short_12: ZO3C4PWWZP7V · pith_short_16: ZO3C4PWWZP7VIDDM · pith_short_8: ZO3C4PWW
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZO3C4PWWZP7VIDDMPDC2IYT7CQ \
  | 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: cbb62e3ed6cbff540c6c78c5a4627f141750f268537ae1bcc5d82ba6bd7999b4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e6be415902463a56e040fbbea17015c160c5301af226c30046073de249adcf5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.RM",
    "submitted_at": "2015-05-19T20:49:47Z",
    "title_canon_sha256": "a5684808fa613a62d7dc1c7291b3ad0f78bd597136d897fc19071991d14108fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05182",
    "kind": "arxiv",
    "version": 1
  }
}