Pith Number

pith:VPQTXXRW

pith:2016:VPQTXXRWQC4QKLWMMUORL4RYXS

not attested not anchored not stored refs pending

Gaussian Learning-Without-Recall in a Dynamic Social Network

Bernard Chazelle, Chu Wang

arxiv:1609.05990 v1 · 2016-09-20 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VPQTXXRWQC4QKLWMMUORL4RYXS}

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	2026-05-18T01:04:16.936922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abe13bde3680b9052ecc651d15f238bcb437c5ec589882559aed1eeeb7dd35f7

Aliases

arxiv: 1609.05990 · arxiv_version: 1609.05990v1 · doi: 10.48550/arxiv.1609.05990 · pith_short_12: VPQTXXRWQC4Q · pith_short_16: VPQTXXRWQC4QKLWM · pith_short_8: VPQTXXRW

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/VPQTXXRWQC4QKLWMMUORL4RYXS \
  | 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: abe13bde3680b9052ecc651d15f238bcb437c5ec589882559aed1eeeb7dd35f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81ef858fafc85001bb926b9b31671a912413f5d9fdc010ea24a3959cc1b8275a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-09-20T01:49:35Z",
    "title_canon_sha256": "8dc84a7697eaf19a30d35a0cf670b238a129fa53f9e75644f39fee0dcdc46e1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05990",
    "kind": "arxiv",
    "version": 1
  }
}