Pith Number

pith:3QQ3EX4J

pith:2010:3QQ3EX4J3YAGG4XPR6VJXFSEKR

not attested not anchored not stored refs pending

Top terms of polynomial traces in Kra's plumbing construction

Caroline Series, Sara Maloni

arxiv:1001.2515 v1 · 2010-01-14 · math.GN · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3QQ3EX4J3YAGG4XPR6VJXFSEKR}

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	2026-05-18T02:41:50.972140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc21b25f89de006372ef8faa9b96445475a49585d97e9fad69669a337e3ecac2

Aliases

arxiv: 1001.2515 · arxiv_version: 1001.2515v1 · doi: 10.48550/arxiv.1001.2515 · pith_short_12: 3QQ3EX4J3YAG · pith_short_16: 3QQ3EX4J3YAGG4XP · pith_short_8: 3QQ3EX4J

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/3QQ3EX4J3YAGG4XPR6VJXFSEKR \
  | 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: dc21b25f89de006372ef8faa9b96445475a49585d97e9fad69669a337e3ecac2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43b8e9112b70ed3979ca827d91d106081d9d9aef352eaa41e04663178b0608f3",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2010-01-14T18:18:40Z",
    "title_canon_sha256": "d4fc4b13e276e6037d5f11d688684e2e97821ffdabb6843850682cb1f92c5ba8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.2515",
    "kind": "arxiv",
    "version": 1
  }
}