Pith Number

pith:S67Q5T5O

pith:2016:S67Q5T5O6NIKYF57PXZY5UQHZM

not attested not anchored not stored refs pending

A new phase transition in the parabolic Anderson model with partially duplicated potential

Nadia Sidorova, Richard Pymar, Stephen Muirhead

arxiv:1612.09583 v2 · 2016-12-30 · 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{S67Q5T5O6NIKYF57PXZY5UQHZM}

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	2026-05-17T23:58:56.293187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97bf0ecfaef350ac17bf7df38ed207cb1980e052a5d1e1ab4c1eb794a6b283aa

Aliases

arxiv: 1612.09583 · arxiv_version: 1612.09583v2 · doi: 10.48550/arxiv.1612.09583 · pith_short_12: S67Q5T5O6NIK · pith_short_16: S67Q5T5O6NIKYF57 · pith_short_8: S67Q5T5O

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/S67Q5T5O6NIKYF57PXZY5UQHZM \
  | 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: 97bf0ecfaef350ac17bf7df38ed207cb1980e052a5d1e1ab4c1eb794a6b283aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66ad93aa8b2bb5ce3777d79c4531c691cd87c6f03ffcacc35a5e19cbf909242a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-12-30T20:09:20Z",
    "title_canon_sha256": "eea3bc66569890e77153c6f337ed8d3d6641109cb4aa6e9e2a8516bf3bf25341"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09583",
    "kind": "arxiv",
    "version": 2
  }
}