Pith Number

pith:HYPMHTW4

pith:2013:HYPMHTW4EOCRCAZKGJYYCWZVSJ

not attested not anchored not stored refs pending

Phase diagram for a copolymer in a micro-emulsion

Frank den Hollander, Nicolas P\'etr\'elis

arxiv:1309.1635 v2 · 2013-09-06 · 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{HYPMHTW4EOCRCAZKGJYYCWZVSJ}

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	2026-05-18T01:03:37.230327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e1ec3cedc238511032a3271815b35926bcbd0c7d0aa57bcf82885616b6be84c

Aliases

arxiv: 1309.1635 · arxiv_version: 1309.1635v2 · doi: 10.48550/arxiv.1309.1635 · pith_short_12: HYPMHTW4EOCR · pith_short_16: HYPMHTW4EOCRCAZK · pith_short_8: HYPMHTW4

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/HYPMHTW4EOCRCAZKGJYYCWZVSJ \
  | 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: 3e1ec3cedc238511032a3271815b35926bcbd0c7d0aa57bcf82885616b6be84c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29ec01a0ae8d124319d680e98cd36ec1fb42353c7db9043ece4af6451c055d55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-06T13:23:12Z",
    "title_canon_sha256": "5fcca17cc896733151589c81c9c6cb06ee5cd369539c07d6910c80733fcf79df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1635",
    "kind": "arxiv",
    "version": 2
  }
}