Pith Number

pith:7ASMEZVY

pith:2021:7ASMEZVYQR7ZLDBGGYDJEML5IT

not attested not anchored not stored refs pending

Decorated Merge Trees for Persistent Topology

Haibin Hang, Justin Curry, Osman Berat Okutan, Tom Needham, Washington Mio

arxiv:2103.15804 v5 · 2021-03-29 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7ASMEZVYQR7ZLDBGGYDJEML5IT}

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	2026-07-05T03:01:23.794475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f824c266b8847f958c26360692317d44f7817b7864eb22fb1537ecf560071d80

Aliases

arxiv: 2103.15804 · arxiv_version: 2103.15804v5 · doi: 10.48550/arxiv.2103.15804 · pith_short_12: 7ASMEZVYQR7Z · pith_short_16: 7ASMEZVYQR7ZLDBG · pith_short_8: 7ASMEZVY

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/7ASMEZVYQR7ZLDBGGYDJEML5IT \
  | 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: f824c266b8847f958c26360692317d44f7817b7864eb22fb1537ecf560071d80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6aa5193698b3b1a8fb8a2ac7415a8a4116a26c7000931b1be3e78c98c7041cca",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2021-03-29T17:54:19Z",
    "title_canon_sha256": "a75d9775a94ec28c34f5e1b7ac458fcd97a9116afcc7f26a6aeb3d74060985a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.15804",
    "kind": "arxiv",
    "version": 5
  }
}