Pith Number

pith:FHWLD2TK

pith:2015:FHWLD2TKKGMZRWMEWMDALY4G3L

not attested not anchored not stored refs pending

Bublz! : Playing with Bubbles to Develop Mathematical Thinking

Dhruv Chand, Karthik Gopalakrishnan, Mudit Sinha, Nisha KK, Shreya Sriram

arxiv:1503.03403 v2 · 2015-03-11 · cs.HC · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FHWLD2TKKGMZRWMEWMDALY4G3L}

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	2026-05-18T01:34:34.975916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29ecb1ea6a519998d984b30605e386dac43f79570c09f043432d53eb38f824e1

Aliases

arxiv: 1503.03403 · arxiv_version: 1503.03403v2 · doi: 10.48550/arxiv.1503.03403 · pith_short_12: FHWLD2TKKGMZ · pith_short_16: FHWLD2TKKGMZRWME · pith_short_8: FHWLD2TK

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/FHWLD2TKKGMZRWMEWMDALY4G3L \
  | 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: 29ecb1ea6a519998d984b30605e386dac43f79570c09f043432d53eb38f824e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8060f3ca59a6446e8a6faafd6ad3d45adf76636b104fa9e4ba8621c1587b6839",
    "cross_cats_sorted": [
      "math.HO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.HC",
    "submitted_at": "2015-03-11T16:20:51Z",
    "title_canon_sha256": "b43499d365f51338d41aaa0144e9b024134e845cb579bb71db7369f777ee9856"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03403",
    "kind": "arxiv",
    "version": 2
  }
}