Pith Number

pith:YSM6X7SS

pith:2012:YSM6X7SSW72NBTTBYZ3KWFB3FX

not attested not anchored not stored refs pending

Comparison Theorems for Backward Stochastic Volterra Integral Equations

Jiongmin Yong, Tianxiao Wang

arxiv:1208.2064 v1 · 2012-08-10 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YSM6X7SSW72NBTTBYZ3KWFB3FX}

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	2026-05-18T03:49:00.330254Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c499ebfe52b7f4d0ce61c676ab143b2dc0dac81e2b41eb6a55237e1c514db600

Aliases

arxiv: 1208.2064 · arxiv_version: 1208.2064v1 · doi: 10.48550/arxiv.1208.2064 · pith_short_12: YSM6X7SSW72N · pith_short_16: YSM6X7SSW72NBTTB · pith_short_8: YSM6X7SS

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/YSM6X7SSW72NBTTBYZ3KWFB3FX \
  | 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: c499ebfe52b7f4d0ce61c676ab143b2dc0dac81e2b41eb6a55237e1c514db600

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed9024bf2a0c8fbedc9fcfd0b4068ea67fd63d8584f83f89f3e3a4ac865a53de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-08-10T00:33:18Z",
    "title_canon_sha256": "8f8d21341e9ed8263fa82f74d24f8d004f11d934daacfff8dbb8beb1006ec1cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2064",
    "kind": "arxiv",
    "version": 1
  }
}