Pith Number

pith:2BAYXVB2

pith:2016:2BAYXVB2IDMKHCHALWDQPDUBJ4

not attested not anchored not stored refs pending

On the homotopy analysis method for backward/forward-backward stochastic differential equations

Shijun Liao, Xiaoxu Zhong

arxiv:1612.06091 v1 · 2016-12-19 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2BAYXVB2IDMKHCHALWDQPDUBJ4}

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	2026-05-18T00:25:11.851973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0418bd43a40d8a388e05d87078e814f3d36c01597c280e99b4e69de97920c6d

Aliases

arxiv: 1612.06091 · arxiv_version: 1612.06091v1 · doi: 10.48550/arxiv.1612.06091 · pith_short_12: 2BAYXVB2IDMK · pith_short_16: 2BAYXVB2IDMKHCHA · pith_short_8: 2BAYXVB2

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/2BAYXVB2IDMKHCHALWDQPDUBJ4 \
  | 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: d0418bd43a40d8a388e05d87078e814f3d36c01597c280e99b4e69de97920c6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b08fea17a981427377c6b0a1c11ec4ca8527b1580f061fe742730e3c70f09526",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-12-19T09:45:53Z",
    "title_canon_sha256": "01fcf716ba450fac49fb82fd71ac12455e90a5c36979ef2701ca0b2fda1aa107"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06091",
    "kind": "arxiv",
    "version": 1
  }
}