Pith Number

pith:TRJPUMO7

pith:2011:TRJPUMO7AUAI5GDHTTWLT2CQ5A

not attested not anchored not stored refs pending

SDE with oblique reflection on domains defined by multiple constraints

Myriam Fradon

arxiv:1112.3242 v1 · 2011-12-14 · 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{TRJPUMO7AUAI5GDHTTWLT2CQ5A}

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	2026-05-18T03:20:58.920402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c52fa31df05008e98679cecb9e850e81a943bdb005ac2c8323acc54964f6b57

Aliases

arxiv: 1112.3242 · arxiv_version: 1112.3242v1 · doi: 10.48550/arxiv.1112.3242 · pith_short_12: TRJPUMO7AUAI · pith_short_16: TRJPUMO7AUAI5GDH · pith_short_8: TRJPUMO7

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/TRJPUMO7AUAI5GDHTTWLT2CQ5A \
  | 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: 9c52fa31df05008e98679cecb9e850e81a943bdb005ac2c8323acc54964f6b57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9be5cb11c6ec880e9b001e2389834893996dffddaba5990f026ec8dbd387d60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-14T15:01:40Z",
    "title_canon_sha256": "69ae99dbb2a734a9784829c2057830dfb19803c2427ceba9adb5e545c61fd48d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3242",
    "kind": "arxiv",
    "version": 1
  }
}