Pith Number

pith:YMXULCW5

pith:2012:YMXULCW5XTXDKXITAJG6574EL3

not attested not anchored not stored refs pending

Existence of Financial Equilibria in Continuous Time with Potentially Complete Markets

Frank Riedel, Frederik Herzberg

arxiv:1207.2010 v1 · 2012-07-09 · q-fin.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YMXULCW5XTXDKXITAJG6574EL3}

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	2026-05-18T03:51:26.320625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c32f458addbcee355d13024deeff845edd59cc552b21266142a17321d374b86d

Aliases

arxiv: 1207.2010 · arxiv_version: 1207.2010v1 · doi: 10.48550/arxiv.1207.2010 · pith_short_12: YMXULCW5XTXD · pith_short_16: YMXULCW5XTXDKXIT · pith_short_8: YMXULCW5

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/YMXULCW5XTXDKXITAJG6574EL3 \
  | 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: c32f458addbcee355d13024deeff845edd59cc552b21266142a17321d374b86d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d4473aef58a5a9251701ccfa96fc283cd61d67a290e677da2c66e0208983694",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.GN",
    "submitted_at": "2012-07-09T11:35:41Z",
    "title_canon_sha256": "8cebaa288497c1cfb9f057c9f14b18a827bcd54d957152332f50e273aded5cc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2010",
    "kind": "arxiv",
    "version": 1
  }
}